Algebraic Structures in Knot Theory (Contemporary Mathematics)

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Algebraic Structures in Knot Theory (Contemporary Mathematics)

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  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 234 p.
  • 言語 ENG
  • 商品コード 9781470475581

Full Description

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.

Contents

Articles
Rostislav Akhmechet and Melissa Zhang, On equivariant Khovanov homology
Christine Ruey Shan Lee, Computing Khovanov homology via categorified Jones-Wenzl projectors
Ioannis Diamantis, A survey on skein modules via braids
Blake Mellor and Robin Wilson, Topological symmetries of the Heawood family
Tonie Scroggin, On the cohomology of two stranded braid varieties
Kate Kearney, Symmetry of three component links
Paolo Cavicchioli and Sofia Lambropoulou, The mixed Hilden braid group and the plat equivalence in handlebodies
Jason Joseph and Puttipong Pongtanapaisan, Meridional rank, welded knots, and bridge trisections
Audrey Baumheckel, Carmen Caprau and Conor Righetti, On an invariant for colored classical and singular links
Dionne Ibarra and Gabriel Montoya-Vega, A study of Gram determinants in knot theory