Algebraic Structures in Knot Theory
Will be published approx. on 15. December 2025
Book
Paperback/Softback
234 pages
978-1-4704-7558-1 (ISBN)
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-7558-1 (9781470475581)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
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.
J. Scott Carter, University of South Alabama, Mobile, Alabama.
Neslihan Gugumcu, Izmir Institute of Technology, Turkey.
Sam Nelsen, Claremont McKenna College, California.
Content
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
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