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.
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
Carmen Caprau, California State University, Fresno, California.
J. Scott Carter, University of South Alabama, Mobile, Alabama.
Neslihan Gugumcu, Izmir Institute of Technology, Turkey.
Sam Nelsen, Claremont McKenna College, California.
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