Relevant bibliographies by topics / Rational flowson the torus

Academic literature on the topic 'Rational flowson the torus'

Author: Grafiati
Published: 4 June 2021
Last updated: 28 January 2023

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Journal articles on the topic "Rational flowson the torus"

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Muñoz, Vicente. "Torus rational fibrations." Journal of Pure and Applied Algebra 140, no. 3 (August 1999): 251–59. http://dx.doi.org/10.1016/s0022-4049(98)00004-8.

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Galaz-García, Fernando, Martin Kerin, Marco Radeschi, and Michael Wiemeler. "Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity." International Mathematics Research Notices 2018, no. 18 (March 24, 2017): 5786–822. http://dx.doi.org/10.1093/imrn/rnx064.

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LIENDO, ALVARO, and CHARLIE PETITJEAN. "UNIFORMLY RATIONAL VARIETIES WITH TORUS ACTION." Transformation Groups 24, no. 1 (November 4, 2017): 149–53. http://dx.doi.org/10.1007/s00031-017-9451-8.

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Gorsky, Eugene, Alexei Oblomkov, Jacob Rasmussen, and Vivek Shende. "Torus knots and the rational DAHA." Duke Mathematical Journal 163, no. 14 (November 2014): 2709–94. http://dx.doi.org/10.1215/00127094-2827126.

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Carotenuto, Alessandro, and Ludwik Dąbrowski. "Spin geometry of the rational noncommutative torus." Journal of Geometry and Physics 144 (October 2019): 28–42. http://dx.doi.org/10.1016/j.geomphys.2019.05.008.

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Neeb, Karl-Hermann. "On the Classification of Rational Quantum Tori and the Structure of Their Automorphism Groups." Canadian Mathematical Bulletin 51, no. 2 (June 1, 2008): 261–82. http://dx.doi.org/10.4153/cmb-2008-027-7.

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AbstractAn n-dimensional quantum torus is a twisted group algebra of the group ℤn. It is called rational if all invertible commutators are roots of unity. In the present note we describe a normal form for rational n-dimensional quantum tori over any field. Moreover, we show that for n = 2 the natural exact sequence describing the automorphism group of the quantum torus splits over any field.
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Ilten, Nathan, and Milena Wrobel. "Khovanskii-finite valuations, rational curves, and torus actions." Journal of Combinatorial Algebra 4, no. 2 (June 25, 2020): 141–66. http://dx.doi.org/10.4171/jca/41.

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Greenlees, J. P. C., and B. Shipley. "An algebraic model for rational torus-equivariant spectra." Journal of Topology 11, no. 3 (June 22, 2018): 666–719. http://dx.doi.org/10.1112/topo.12060.

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Brion, M. "Rational smoothness and fixed points of torus actions." Transformation Groups 4, no. 2-3 (June 1999): 127–56. http://dx.doi.org/10.1007/bf01237356.

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HO, CHOON-LIN. "W∞ AND SLq(2) ALGEBRAS IN THE LANDAU PROBLEM AND CHERN-SIMONS THEORY ON A TORUS." Modern Physics Letters A 10, no. 35 (November 20, 1995): 2665–73. http://dx.doi.org/10.1142/s0217732395002799.

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We discuss ω∞ and sl q(2) symmetries in Chern-Simons theory and Landau problem on a torus. It is shown that when the coefficient of the Chern-Simons term, or when the total flux passing through the torus is a rational number, there exist in general two w∞ and sl q(2) algebras, instead of one set each discussed in the literature. The general wave functions for the Landau problem with rational total flux is also presented.
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Dissertations / Theses on the topic "Rational flowson the torus"

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Tolmie, Julie, and julie tolmie@techbc ca. "Visualisation, navigation and mathematical perception: a visual notation for rational numbers mod1." The Australian National University. School of Mathematical Sciences, 2000. http://thesis.anu.edu.au./public/adt-ANU20020313.101505.

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There are three main results in this dissertation. The first result is the construction of an abstract visual space for rational numbers mod1, based on the visual primitives, colour, and rational radial direction. Mathematics is performed in this visual notation by defining increasingly refined visual objects from these primitives. In particular, the existence of the Farey tree enumeration of rational numbers mod1 is identified in the texture of a two-dimensional animation. ¶ The second result is a new enumeration of the rational numbers mod1, obtained, and expressed, in abstract visual space, as the visual object coset waves of coset fans on the torus. Its geometry is shown to encode a countably infinite tree structure, whose branches are cosets, nZ+m, where n, m (and k) are integers. These cosets are in geometrical 1-1 correspondence with sequences kn+m, (of denominators) of rational numbers, and with visual subobjects of the torus called coset fans. ¶ The third result is an enumeration in time of the visual hierarchy of the discrete buds of the Mandelbrot boundary by coset waves of coset fans. It is constructed by embedding the circular Farey tree geometrically into the empty internal region of the Mandelbrot set. In particular, coset fans attached to points of the (internal) binary tree index countably infinite sequences of buds on the (external) Mandelbrot boundary.
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Ilten, Nathan Owen [Verfasser]. "Deformations of rational varieties with codimension-one torus action / Nathan Owen Ilten." Berlin : Freie Universität Berlin, 2010. http://d-nb.info/1024784762/34.

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Petitjean, Charlie. "Actions hyperboliques du groupe multiplicatif sur des variétés affines : espaces exotiques et structures locales." Thesis, Dijon, 2015. http://www.theses.fr/2015DIJOS009/document.

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Cette thèse est consacré à l'étude des T-variétés affines à l'aide de la présentation due à Altmann et Hausen. On s'intéresse plus particulièrement au cas des actions hyperboliques du groupe multiplicatif Gm. Dans une première partie, on étudie les espaces affines exotiques, c'est-à-dire des variétés affines lisses et contractiles, en supposant de plus qu'elles sont munies d'une action de Gm. En particulier, dans le cas de dimension 3, on réinterprète la construction des variétésde Koras-Russell en terme de diviseurs polyédraux, et on donne des constructions de variétés affines lisses et contractiles en dimension supérieure à 3.Dans une deuxième partie, on introduit la propriété pour une G-variété d'être G-uniformément rationnelle, c'est-à-dire que tout point de cette variété admet un voisinage ouvert G-stable, qui est isomorphe de manière equivariante à un ouvert G-invariant de l'espace affine. En particulier, on exhibera des Gm-variétés qui sont lisses et rationnelles mais qui ne sont pas Gm-uniformément rationnelle
This thesis is devoted to the study of affine T-varieties using the Altmann-Hausen presentation. We are especially interested in the case of hyperbolic actions of the multiplicative group Gm. In the first part, exotic affine spaces are studied, that is, smooth contractible affine varieties, assuming in addition that they are endowed with a Gm-action. In particular, in the case of dimension 3, we reinterpret the construction of Koras-Russell threefolds in terms of polyhedral divisors andwe give constructions of smooth contractible affine varieties and in dimensionslarger than 3.In the second part we consider the property of G-uniform rationality for a G-variety. This means that every point of this variety there exists an open G-stable neighborhood, which is equivariantly somorphic to a G-stable open subset of the affine space. In particular we will exhibit Gm-varieties which are smooth and rational but not Gm-uniformly rational
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Tolmie, Julie. "Visualisation, navigation and mathematical perception: a visual notation for rational numbers mod1." Phd thesis, 2000. http://hdl.handle.net/1885/6969.

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There are three main results in this dissertation. The first result is the construction of an abstract visual space for rational numbers mod1, based on the visual primitives, colour, and rational radial direction. Mathematics is performed in this visual notation by defining increasingly refined visual objects from these primitives. In particular, the existence of the Farey tree enumeration of rational numbers mod1 is identified in the texture of a two-dimensional animation. The second result is a new enumeration of the rational numbers mod1, obtained, and expressed, in abstract visual space, as the visual object coset waves of coset fans on the torus. Its geometry is shown to encode a countably infinite tree structure, whose branches are cosets, nZ+m, where n, m (and k) are integers. These cosets are in geometrical 1-1 correspondence with sequences kn+m, (of denominators) of rational numbers, and with visual subobjects of the torus called coset fans. The third result is an enumeration in time of the visual hierarchy of the discrete buds of the Mandelbrot boundary by coset waves of coset fans. It is constructed by embedding the circular Farey tree geometrically into the empty internal region of the Mandelbrot set. In particular, coset fans attached to points of the (internal) binary tree index countably infinite sequences of buds on the (external) Mandelbrot boundary.
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Book chapters on the topic "Rational flowson the torus"

1

Kontsevich, Maxim. "Enumeration of Rational Curves Via Torus Actions." In The Moduli Space of Curves, 335–68. Boston, MA: Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-4264-2_12.

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Halperin, Stephen. "Rational homotopy and torus actions." In Aspects of Topology, 293–306. Cambridge University Press, 1985. http://dx.doi.org/10.1017/cbo9781107359925.015.

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