| Softcover ISBN: | 978-1-4704-7558-1 |
| Product Code: | CONM/827 |
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| eBook ISBN: | 978-1-4704-8101-8 |
| Product Code: | CONM/827.E |
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| Softcover ISBN: | 978-1-4704-7558-1 |
| eBook: ISBN: | 978-1-4704-8101-8 |
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| AMS Member Price: | $211.20 $159.60 |
| Softcover ISBN: | 978-1-4704-7558-1 |
| Product Code: | CONM/827 |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| eBook ISBN: | 978-1-4704-8101-8 |
| Product Code: | CONM/827.E |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| Softcover ISBN: | 978-1-4704-7558-1 |
| eBook ISBN: | 978-1-4704-8101-8 |
| Product Code: | CONM/827.B |
| List Price: | $264.00 $199.50 |
| MAA Member Price: | $237.60 $179.55 |
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Book DetailsContemporary MathematicsVolume: 827; 2025; 234 ppMSC: Primary 57; 20
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.
ReadershipGraduate students and researchers interested in various aspects of commutative algebra.
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Table of Contents
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Articles
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Rostislav Akhmechet and Melissa Zhang — On equivariant Khovanov homology
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Christine Ruey Shan Lee — Computing Khovanov homology via categorified Jones-Wenzl projectors
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Ioannis Diamantis — A survey on skein modules via braids
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Blake Mellor and Robin Wilson — Topological symmetries of the Heawood family
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Tonie Scroggin — On the cohomology of two stranded braid varieties
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Kate Kearney — Symmetry of three component links
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Paolo Cavicchioli and Sofia Lambropoulou — The mixed Hilden braid group and the plat equivalence in handlebodies
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Jason Joseph and Puttipong Pongtanapaisan — Meridional rank, welded knots, and bridge trisections
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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
-
-
Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
Graduate students and researchers interested in various aspects of commutative algebra.
-
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
