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Academic literature on the topic 'Framed sheaves'

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Published: 14 March 2023

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Journal articles on the topic "Framed sheaves"

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Bruzzo, Ugo, Francesco Sala, and Mattia Pedrini. "Framed sheaves on projective stacks." Advances in Mathematics 272 (February 2015): 20–95. http://dx.doi.org/10.1016/j.aim.2014.11.019.

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Scalise, Jacopo Vittorio. "Framed symplectic sheaves on surfaces." International Journal of Mathematics 29, no. 01 (January 2018): 1850007. http://dx.doi.org/10.1142/s0129167x18500076.

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A framed symplectic sheaf on a smooth projective surface [Formula: see text] is a torsion-free sheaf [Formula: see text] together with a trivialization on a divisor [Formula: see text] and a morphism [Formula: see text] satisfying some additional conditions. We construct a moduli space for framed symplectic sheaves on a surface, and present a detailed study for [Formula: see text]. In this case, the moduli space is irreducible and admits an ADHM-type description and a birational proper map onto the space of framed symplectic ideal instantons.
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Hurtubise, Jacques, Lisa Jeffrey, and Reyer Sjamaar. "Moduli of Framed Parabolic Sheaves." Annals of Global Analysis and Geometry 28, no. 4 (November 2005): 351–70. http://dx.doi.org/10.1007/s10455-005-1941-6.

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Bruzzo, Ugo, and Dimitri Markushevish. "Moduli of framed sheaves on projective surfaces." Documenta Mathematica 16 (2011): 399–410. http://dx.doi.org/10.4171/dm/336.

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HENNI, AMAR ABDELMOUBINE. "MONADS FOR FRAMED TORSION-FREE SHEAVES ON MULTI-BLOW-UPS OF THE PROJECTIVE PLANE." International Journal of Mathematics 25, no. 01 (January 2014): 1450008. http://dx.doi.org/10.1142/s0129167x14500086.

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We construct monads for framed torsion-free sheaves on blow-ups of the complex projective plane at finitely many distinct points. Using these monads we prove that the moduli space of such sheaves is a smooth algebraic variety. Moreover, we construct monads for families of such sheaves parametrized by a noetherian scheme S of finite type. A universal monad on the moduli space is introduced and used to prove that the moduli space is fine.
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KIM, BUMSIG, and HWAYOUNG LEE. "WALL-CROSSINGS FOR TWISTED QUIVER BUNDLES." International Journal of Mathematics 24, no. 05 (May 2013): 1350038. http://dx.doi.org/10.1142/s0129167x13500389.

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Given a double quiver, we study homological algebra of twisted quiver sheaves with the moment map relation using the short exact sequence of Crawley-Boevey, Holland, Gothen, and King. Then in a certain one-parameter space of the stability conditions, we obtain a wall-crossing formula for the generalized Donaldson–Thomas invariants of the abelian category of framed twisted quiver sheaves on a smooth projective curve. To do so, we closely follow the approach of Chuang, Diaconescu and Pan in the ADHM quiver case, which makes use of the theory of Joyce and Song. The invariants virtually count framed twisted quiver sheaves with the moment map relation and directly generalize the ADHM invariants of Diaconescu.
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Nevins, Thomas A. "Representability for some moduli stacks of framed sheaves." manuscripta mathematica 109, no. 1 (September 1, 2002): 85–91. http://dx.doi.org/10.1007/s00229-002-0290-z.

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Bartocci, Claudio, Valeriano Lanza, and Claudio L. S. Rava. "Moduli spaces of framed sheaves and quiver varieties." Journal of Geometry and Physics 118 (August 2017): 20–39. http://dx.doi.org/10.1016/j.geomphys.2016.10.011.

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Franco, Emilio, Marcos Jardim, and Simone Marchesi. "Branes in the moduli space of framed sheaves." Bulletin des Sciences Mathématiques 141, no. 4 (June 2017): 353–83. http://dx.doi.org/10.1016/j.bulsci.2017.04.002.

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Sala, Francesco. "Restriction theorems for μ-(semi)stable framed sheaves." Journal of Pure and Applied Algebra 217, no. 12 (December 2013): 2320–44. http://dx.doi.org/10.1016/j.jpaa.2013.03.010.

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Dissertations / Theses on the topic "Framed sheaves"

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Sala, Francesco. "Some topics in the geometry of framed sheaves and their moduli spaces." Thesis, Lille 1, 2011. http://www.theses.fr/2011LIL10076/document.

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La thèse est consacrée à l'étude des faisceaux encadrés sur des variétés non-singulières projectives et des propriétés géométriques de leurs espaces de modules. En particulier, on donne une généralisation au cas encadré des résultats connus pour les faisceaux (semi)stables sans torsion non-encadrés, comme l'existence de la filtration de Harder-Narasimhan (relative), théorèmes de restriction de Mehta-Ramanathan, compactification de Donaldson-Uhlenbeck, la définition de la classe d'Atiyah relative et la description de l'application de Kodaira-Spencer via la classe d'Atiyah relative, l'existence d'une structure symplectique holomorphe, dans certains cas, sur les espaces de modules de faisceaux encadrés
The thesis is concerned with the study of framed sheaves on nonsingular projective varieties and the geometrical properties of their moduli spaces. In particular, it deals with a generalization to the framed case of known results for (semi)stable torsion free nonframed sheaves, such as the existence of the (relative) Harder-Narasimhan filtration, Mehta-Ramanathan restriction theorems, Uhlenbeck-Donaldson compactification, the definition of the relative Atiyah class and the description of the Kodaira-Spencer map in terms of the relative Atiyah class, the existence of a symplectic structure, in certain cases, on the moduli spaces of framed sheaves
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Roupec, Michal. "Konstrukční návrh jednoúčelového stroje na lisování valivých ložisek do kladkovnic." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2013. http://www.nusl.cz/ntk/nusl-230542.

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Purpose of this thesis is to make constructional modification of single-purpose pressing machine for Huisman Konstrukce, s.r.o. company. Present machine is non-operational and not enough powerful for present requests of workshop. Intended modifications are to describe present condition of machine, find present requirements and design simple modifications. All modifications are checked by calculations and sketched in shop drawings. There were also made alternative options of modification to show machine more versatile and automatic.
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Nevins, Thomas A. "Moduli spaces of framed sheaves on ruled surfaces /." 2000. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9965126.

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Books on the topic "Framed sheaves"

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Alliance, National Steel Bridge. V-load analysis: An approximate procedure, simplified and extended, for determining moments and shears in designing horizontally-curved open-framed highway bridges. Chicago, Ill: National Steel Bridge Alliance, 1996.

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George, Frazer James. Garnered Sheaves. Taylor & Francis Group, 2019.

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Book chapters on the topic "Framed sheaves"

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Flenner, Hubert, and Martin Lübke. "Analytic Moduli Spaces of Simple (Co)Framed Sheaves." In Complex Geometry, 99–109. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-642-56202-0_7.

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Nakajima, Hiraku. "Framed moduli space of torsion free sheaves on ℙ²." In University Lecture Series, 17–27. Providence, Rhode Island: American Mathematical Society, 1999. http://dx.doi.org/10.1090/ulect/018/03.

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"Disciplining Bodies through Censors’ Shears." In Violated Frames, 83–118. University of California Press, 2022. http://dx.doi.org/10.2307/j.ctv2j6xf0v.10.

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"Chapter 3 Disciplining Bodies through Censors’ Shears." In Violated Frames, 81–118. University of California Press, 2022. http://dx.doi.org/10.1525/9780520977105-008.

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Conference papers on the topic "Framed sheaves"

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Akylas, Evangelos E., Stavros C. Kassinos, and Elias Gravanis. "RAPIDLY SHEARED HOMOGENEOUS MHD TURBULENCE IN A ROTATING FRAME." In Seventh International Symposium on Turbulence and Shear Flow Phenomena. Connecticut: Begellhouse, 2011. http://dx.doi.org/10.1615/tsfp7.2270.

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Olson, David F., Barbara T. Landesman, and Robert E. Pierson. "Comparative Analysis of Image Registration Techniques in Sheared Beam Imaging." In Signal Recovery and Synthesis. Washington, D.C.: Optica Publishing Group, 1995. http://dx.doi.org/10.1364/srs.1995.rtue5.

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The recovered object in sheared beam imaging is an accumulated average of instantaneous "speckled" image frames. Atmospheric perturbations cause a random tilt in the phase of the return speckle pattern. This tilt induces a random translation in each reconstructed image. This random misregistration of individual frames with respect to each other degrades image quality by blurring the average resultant image.
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Holloway, A. Gordon L., and Dale C. Roach. "MODELLING EFFECTS OF FLOW CURVATURE AND FRAME ROTATION ON SHEARED TURBULENCE." In Second Symposium on Turbulence and Shear Flow Phenomena. Connecticut: Begellhouse, 2001. http://dx.doi.org/10.1615/tsfp2.1950.

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Holmes, Samuel, Owen H. Oakley, and Yiannis Constantinides. "Simulation of Riser VIV Using Fully Three Dimensional CFD Simulations." In 25th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/omae2006-92124.

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Fully three dimensional computational fluid dynamics (CFD) solutions are combined with structural models of a tensioned riser to predict riser vortex induced motion. The use of three dimensional CFD solutions overcomes many of the shortcomings of combining a series of strip or two dimensional simulations to calculate the fluid forces on the riser. Three dimensional vortex structures are treated correctly and straked risers and variations in angle of attack can be studied directly. The proposed method uses finite element methods that are tolerant of sparse meshes and high element aspect ratios. This allows economical solutions of large fluid domains while retaining the important features of the large fluid vortex structures which drive risers. Long risers can be treated with readily available computers and examples of simulations of riser with L/D over 1400 are given and compared with previously published experimental data. These examples are used to illustrate several points regarding the effects of the treatment of the riser structure as well as the efficacy of rotating frame or pinned riser experiments used to simulate sheared currents. The method can also be extended to sheared currents whose heading varies with depth.
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Soranna, Francesco, Yi-Chih Chow, Oguz Uzol, and Joseph Katz. "Structure of Turbulence Within a Sheared Wake of a Rotor Blade." In ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/fedsm2006-98401.

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Stereoscopic PIV measurements examine the flow structure and turbulence within a rotor near wake located within a non-uniform field generated by a row of Inlet Guide Vanes (IGVs). The experiments are performed in a refractive index matched facility that provides unobstructed view of the entire flow field. The data are acquired at 10 closely spaced radial planes located near mid-span, enabling measurements of all the components of the phase averaged velocity and strain rate, as well as the Reynolds stress and the triple correlation tensors. The rotor wake is sheared and bent towards the pressure (inner) side by a non-uniform flow field generated by IGV wake segments that propagate along the suction and pressure sides of the rotor passage with different speeds. The axial velocity fluctuations increase along the suction/outer side of the wake, while the other components decay. On the pressure/inner part of the bent wake the circumferential velocity fluctuations are higher. The Reynolds shear stress has a complex distribution, but is higher on the suction side. The turbulent kinetic energy is also consistently higher on the outer (suction) side of the wake. This trend is fundamentally different from those observed in prior studies of curved wakes where turbulence is enhanced on the inner side of the wake due to the destabilizing effect of curvature. To explain the difference, we examine the contributors to turbulent kinetic energy production rate in a curvilinear coordinate system aligned with the wake-centerline. The contribution of streamwise curvature to the production rate of turbulent kinetic energy, although consistent with expected trends, is overwhelmed by effects of wake shearing. The primary contributor to turbulent kinetic energy production rate is the product of Reynolds shear stress with cross-stream gradients of streamwise (in a frame of reference relative to the rotor blade) velocity in the wake. The location of peak in turbulent kinetic energy is almost aligned with that of production rate. The turbulence diffusion term opposes the production rate peaks, but also has high values along the edge of the wake.
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Kassinos, Stavros C., and Evangelos E. Akylas. "TOWARDS A STRUCTURE-BASED MODEL FOR THE PREDICTION OF PASSIVE SCALAR TRANSPORT IN HYDRODYNAMIC AND MHD TURBULENCE SHEARED IN FIXED AND ROTATING FRAMES." In Fifth International Symposium on Turbulence and Shear Flow Phenomena. Connecticut: Begellhouse, 2007. http://dx.doi.org/10.1615/tsfp5.1710.

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Zhang, Xinwen, Changchun Liu, and Bing Lin. "Prediction of Engine Intake Noise with Discontinuous Least-Square Finite Element Method in Frequency Domain Acoustics." In GPPS Xi'an21. GPPS, 2022. http://dx.doi.org/10.33737/gpps21-tc-195.

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In the frame of efficient passive treatment, intake noise prediction needs improving. This paper presents a novel numerical method for predicting acoustic propagation from axisymmetric ducted fans of high bypass ratio turbofan engine. Non-uniform mean flow convection and acoustic liner treatment is included. The linearized Euler equations are solved in the frequency domain. The spatial discretization is conducted with the discontinuous least-square finite element method so that the resulting algebraic equation is Hermitian conjugate symmetric. Moreover, the high-order accuracy and hp refinement is obtained while memory shared parallel computing strategy is used for convergence acceleration. Based on the near field acoustics, the porous Ffowcs Williams-Hawkings equation is solved for far field sound pressure level. Benchmark problems including monopole radiation in uniform mean flow and acoustic propagation in sheared mean flow are used to validate the capability. Simulations of the JT15D static test intake noise are performed, where the far field angle of peak sound pressure level, about 60° agrees well with experimental data and numerical data available in the literature.
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Giuliani, Fabrice, Andreas Lang, Klaus Johannes Gradl, Peter Siebenhofer, and Johannes Fritzer. "Air Flow Modulation for Refined Control of the Combustion Dynamics Using a Novel Actuator." In ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/gt2011-45071.

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A specific actuator able to modulate the air feed of a gas a burner at a given frequency and amplitude is presented. The Combustion Department at the Institute for Thermal Turbomachinery and Machine Dynamics at the Graz University of Technology has experience on the study of combustion instabilities in gas turbines using a flow excitor. The stability of an industrial burner is tested at elevated pressure and temperature conditions in the frame of the NEWAC project. For practical matters of operation among which the possibility to induce progressively a perturbation when the flame conditions are all set, the need was expressed to design, construct and validate a flexible actuator able to set an air flow modulation at a given frequency and at a desired amplitude level, with the possibility during operation to let these two factors vary in a given range independently from each other. This device should operate within the 0–1 kHz range and 0–20% amplitude range at steady-state, during transients, or follow a specific time sequence. It should be robust and sustain elevated pressures. The objective is to bring a perturbation in the flow to which the combustor will respond, or not. For elevated levels of pulsation, it can simulate the presence of vortex-driven combustion instabilities. It can also act as a real-time actuator able to respond in frequency and in phase to actively damp a “natural” combustion instability. Other issues are a better and quicker mixing due to the enhanced turbulence level, and pushing forward the blow out limits at lean conditions with controlled injection dynamics. The basic construction is the one of a siren, with an elevated pressure side where the air is throttled, and a low pressure outlet where the resulting sonic jet is sheared by a rotating wheel. A mechanism allows to let vary the surface of interaction between the wheel and the jet. Two electro-motors driven by Labview set both frequency and amplitude levels. This contribution describes the actuator’s principles, design, operation range and the results of the characterisation campaign.
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Chow, Yi-Chih, Oguz Uzol, and Joseph Katz. "Flow Non-Uniformities and Turbulent “Hot Spots” Due to Wake-Blade and Wake-Wake Interactions in a Multistage Turbomachine." In ASME Turbo Expo 2002: Power for Land, Sea, and Air. ASMEDC, 2002. http://dx.doi.org/10.1115/gt2002-30667.

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This experimental study provides striking examples of the complex flow and turbulence structure resulting from blade-wake and wake-wake interactions in a multi-stage turbomachine. Particle Image Velocimetry (PIV) measurements are performed within the entire 2nd stage of a two-stage turbomachine. The experiments are performed in a facility that allows unobstructed view of the entire flow field, facilitated using transparent rotor and stator and a fluid that has the same optical index of refraction as the blades. This paper contains data on the phase-averaged flow structure including velocity, vorticity and strain-rate, as well as the turbulent kinetic energy and shear stress, at mid span, for several orientation of the rotor relative to the stator. Two different test setups with different blade geometries are used in order to highlight and elucidate complex phenomena involved, as well as to demonstrate that some of the interactions are characteristic to turbomachines and can be found in a variety of geometries. The first part of the paper deals with the interaction of a 2nd stage rotor with the wakes of both the rotor and the stator of the 1st stage. Even before interacting with the blade, localized regions with concentrated mean vorticity and elevated turbulence levels form at the intersection of the rotor and stator wakes of the 1st stage. These phenomena persist even after being ingested by the rotor blade of the 2nd stage. As the wake segment of the 1st stage rotor blade arrives to the 2nd stage, the rotor blades become submerged in its elevated turbulence levels, and separate the region with positive vorticity that travels along the pressure side of the blade, from the region with negative vorticity that remains on the suction side. The 1st stage stator wake is chopped-off by the blades. Due to difference in mean tangential velocity, the stator wake segment on the pressure side is advected faster than the segment on the suction side (in the absolute frame of reference), creating discontinuities in the stator wake trajectory. The non-uniformities in phase-averaged velocity distributions generated by the wakes of the 1st stage persist while passing through the 2nd stage rotor. The combined effects of the 1st stage blade rows cause 10°–12° variations of flow angle along the pressure side of the blade. Thus, in spite of the large gap between the 1st and 2nd rotors (compared to typical rotor-stator spacings in axial compressors), 6.5 rotor axial chords, the wake-blade interactions are substantial. The second part focuses on the flow structure at the intersection of the wakes generated by a rotor and a stator located upstream of it. In both test setups the rotor wake is sheared by the non-uniformities in the horizontal velocity distributions, which are a direct result of the “discontinuities” in the trajectories of the stator wake. This shearing creates a kink in the trajectory of the rotor wake, a quadruple structure in the distribution of strain, regions with concentrated vorticity, high turbulence levels and high shear stresses, the latter with a complex structure that resembles the mean strain. Although the “hot spots” diffuse as they are advected downstream, they still have elevated turbulence levels compared to the local levels around them. In fact, every region of wake intersection has an elevated turbulence level.
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