Algebraic Structures in Knot Theory

Häftad, Engelska, 2025

AvCarmen Caprau,J. Scott Carter,Neslihan Gugumcu,Sam Nelsen

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This volume contains the proceedings of the AMS Western Sectional Meeting on Algebraic Structures in Knot Theory held on May 6-7, 2023, at California State University, Fresno, California. Modern knot theory includes the study of a diversity of different knotted objects-classical knots, surface-links, knotoids, spatial graphs, and more. Knot invariants are tools for probing the structure of these generalized knots. Many of the most effective knot invariants take the form of algebraic structures. In this volume we collect some recent work on algebraic structures in knot theory, including topics such as braid groups, skein algebras, Gram determinants, and categorifications such as Khovanov homology.

Produktinformation

Utgivningsdatum2025-12-15
Mått178 x 254 x undefined mm
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor234
FörlagAmerican Mathematical Society
ISBN9781470475581

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Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

ArticlesRostislav Akhmechet and Melissa Zhang, On equivariant Khovanov homologyChristine Ruey Shan Lee, Computing Khovanov homology via categorified Jones-Wenzl projectorsIoannis Diamantis, A survey on skein modules via braidsBlake Mellor and Robin Wilson, Topological symmetries of the Heawood familyTonie Scroggin, On the cohomology of two stranded braid varietiesKate Kearney, Symmetry of three component linksPaolo Cavicchioli and Sofia Lambropoulou, The mixed Hilden braid group and the plat equivalence in handlebodiesJason Joseph and Puttipong Pongtanapaisan, Meridional rank, welded knots, and bridge trisectionsAudrey Baumheckel, Carmen Caprau and Conor Righetti, On an invariant for colored classical and singular linksDionne Ibarra and Gabriel Montoya-Vega, A study of Gram determinants in knot theory