Integral HOMFLY-PT and -Link Homology

Author:

Krasner Daniel1

Affiliation:

1. Department of Mathematics, Columbia University, New York, NY 10027, USA

Abstract

Using the diagrammatic calculus for Soergel bimodules, developed by Elias and Khovanov, as well as Rasmussen's spectral sequence, we construct an integral version of HOMFLY-PT and -link homology.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. HOMFLYPT homology over ℤ2 detects unlinks;Journal of Knot Theory and Its Ramifications;2022-09-30

2. Symmetric Khovanov-Rozansky link homologies;Journal de l’École polytechnique — Mathématiques;2020-04-02

3. The knot Floer cube of resolutions and the composition product;Journal of Knot Theory and Its Ramifications;2020-03

4. Categorified Young symmetrizers and stable homology of torus links;Geometry & Topology;2018-06-01

5. Framed graphs and the non-local ideal in the knot Floer cube of resolutions;Algebraic & Geometric Topology;2015-06-19

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