Добірка наукової літератури з теми "Link-homotopy"
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Статті в журналах з теми "Link-homotopy":
Koschorke, U. "Link homotopy." Proceedings of the National Academy of Sciences 88, no. 1 (January 1, 1991): 268–70. http://dx.doi.org/10.1073/pnas.88.1.268.
Kaiser, Uwe. "Link homotopy in ℝ3andS3". Pacific Journal of Mathematics 151, № 2 (1 грудня 1991): 257–64. http://dx.doi.org/10.2140/pjm.1991.151.257.
HUGHES, JAMES R. "LINK HOMOTOPY INVARIANT QUANDLES." Journal of Knot Theory and Its Ramifications 20, no. 05 (May 2011): 763–73. http://dx.doi.org/10.1142/s0218216511008930.
MELLOR, BLAKE. "FINITE TYPE LINK HOMOTOPY INVARIANTS." Journal of Knot Theory and Its Ramifications 08, no. 06 (September 1999): 773–87. http://dx.doi.org/10.1142/s0218216599000481.
HUGHES, JAMES R. "STRUCTURED GROUPS AND LINK-HOMOTOPY." Journal of Knot Theory and Its Ramifications 02, no. 01 (March 1993): 37–63. http://dx.doi.org/10.1142/s0218216593000040.
BAR-NATAN, DROR. "VASSILIEV HOMOTOPY STRING LINK INVARIANTS." Journal of Knot Theory and Its Ramifications 04, no. 01 (March 1995): 13–32. http://dx.doi.org/10.1142/s021821659500003x.
Koschorke, Ulrich. "Link homotopy with many components." Topology 30, no. 2 (1991): 267–81. http://dx.doi.org/10.1016/0040-9383(91)90013-t.
Elhamdadi, Mohamed, Minghui Liu, and Sam Nelson. "Quasi-trivial quandles and biquandles, cocycle enhancements and link-homotopy of pretzel links." Journal of Knot Theory and Its Ramifications 27, no. 11 (October 2018): 1843007. http://dx.doi.org/10.1142/s0218216518430071.
Lightfoot, Ash. "On invariants of link maps in dimension four." Journal of Knot Theory and Its Ramifications 25, no. 11 (October 2016): 1650060. http://dx.doi.org/10.1142/s0218216516500607.
Lightfoot, Ash. "Detecting Whitney disks for link maps in the four-sphere." Journal of Knot Theory and Its Ramifications 26, no. 12 (October 2017): 1750077. http://dx.doi.org/10.1142/s0218216517500778.
Дисертації з теми "Link-homotopy":
Fleming, Thomas R. "Generalized link homotopy invariants." Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2006. http://wwwlib.umi.com/cr/ucsd/fullcit?p3208096.
Title from first page of PDF file (viewed June 2, 2006). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 72-75).
Bartels, Arthur C. "Link homotopy in codimension two /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1999. http://wwwlib.umi.com/cr/ucsd/fullcit?p9936836.
Graff, Emmanuel. ""Link-homotopy" in low dimensional topology." Electronic Thesis or Diss., Normandie, 2023. http://www.theses.fr/2023NORMC244.
This thesis explores low-dimensional topology, with a focus on knot theory. Knot theory is dedicated to the study of knots as commonly understood: a piece of string tied in space or, more generally, links formed by taking several pieces of string. Knots and links are studied up to deformation, for example, up to isotopy, which involves manipulations that do not require cutting or passing the string through itself. This thesis explores link-homotopy, a more flexible equivalence relation where distinct components remain disjoint, but a single component can self-intersect. The theory of claspers, powerful tools of surgery, is developed up to link-homotopy. Their use allows for a geometric proof of the classification of links with 4 components or less up to link-homotopy. Special attention is then given to braids, mathematical objects related to knots and links. It is shown that the homotopy braid group is linear, meaning it is faithfully represented by a subgroup of matrices. New group presentations are also proposed. Finally, it is established that the homotopy braid group is torsion-free for any number of components. This last result draws upon the broader context of welded knot theory
Zhang, Melissa. "Localization for Khovanov homologies:." Thesis, Boston College, 2019. http://hdl.handle.net/2345/bc-ir:108470.
Thesis advisor: David Treumann
In 2010, Seidel and Smith used their localization framework for Floer homologies to prove a Smith-type rank inequality for the symplectic Khovanov homology of 2-periodic links in the 3-sphere. Hendricks later used similar geometric techniques to prove analogous rank inequalities for the knot Floer homology of 2-periodic links. We use combinatorial and space-level techniques to prove analogous Smith-type inequalities for various flavors of Khovanov homology for periodic links in the 3-sphere of any prime periodicity. First, we prove a graded rank inequality for the annular Khovanov homology of 2-periodic links by showing grading obstructions to longer differentials in a localization spectral sequence. We remark that the same method can be extended to p-periodic links. Second, in joint work with Matthew Stoffregen, we construct a Z/p-equivariant stable homotopy type for odd and even, annular and non-annular Khovanov homologies, using Lawson, Lipshitz, and Sarkar's Burnside functor construction of a Khovanov stable homotopy type. Then, we identify the fixed-point sets and apply a version of the classical Smith inequality to obtain spectral sequences and rank inequalities relating the Khovanov homology of a periodic link with the annular Khovanov homology of the quotient link. As a corollary, we recover a rank inequality for Khovanov homology conjectured by Seidel and Smith's work on localization and symplectic Khovanov homology
Thesis (PhD) — Boston College, 2019
Submitted to: Boston College. Graduate School of Arts and Sciences
Discipline: Mathematics
Частини книг з теми "Link-homotopy":
Koschorke, Ulrich. "Higher order homotopy invariants for higher dimensional link maps." In Lecture Notes in Mathematics, 116–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074427.
Mobahi, Hossein, and John W. Fisher. "On the Link between Gaussian Homotopy Continuation and Convex Envelopes." In Lecture Notes in Computer Science, 43–56. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14612-6_4.
Azizi, Tahmineh. "Using Homotopy Link Function with Lipschitz Threshold in Studying Synchronized Fluctuations in Hierarchical Models." In Springer Proceedings in Mathematics & Statistics, 75–95. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25225-9_4.
Grigoriev, D., and A. Slissenko. "Computing minimum-link path in a homotopy class amidst semi-algebraic obstacles in the plane." In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, 114–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-63163-1_9.
"Link homotopy in simply connected 3-manifolds." In AMS/IP Studies in Advanced Mathematics, 118–22. Providence, Rhode Island: American Mathematical Society, 1996. http://dx.doi.org/10.1090/amsip/002.1/07.
Waldhausen, Friedhelm, Bjørn Jahren, and John Rognes. "Introduction." In Spaces of PL Manifolds and Categories of Simple Maps (AM-186). Princeton University Press, 2013. http://dx.doi.org/10.23943/princeton/9780691157757.003.0001.
Тези доповідей конференцій з теми "Link-homotopy":
Dhingra, Anoop K., Jyun-Cheng Cheng, and Dilip Kohli. "Complete Solutions to Synthesis of Six-Link, Slider-Crank and Four-Link Mechanisms for Function, Path and Motion Generation Using Homotopy With M-Homogenization." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0308.
Dhingra, A. K., and M. Zhang. "Multiply Separated Synthesis of Six-Link Mechanisms Using Parallel Homotopy With M-Homogenization." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/mech-5929.
Tsai, L. W., and J. J. Lu. "Coupler-Point-Curve Synthesis Using Homotopy Methods." In ASME 1989 Design Technical Conferences. American Society of Mechanical Engineers, 1989. http://dx.doi.org/10.1115/detc1989-0154.
Baskar, Aravind, and Mark Plecnik. "Synthesis of Stephenson III Timed Curve Generators Using a Probabilistic Continuation Method." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-98136.