The second Yang–Baxter homology for the HOMFLYPT polynomial-Reference-Cited by-同舟云学术

The second Yang–Baxter homology for the HOMFLYPT polynomial

Published:2021-11 Issue:13 Volume:30 Page:
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Przytycki Józef H.¹²,Wang Xiao³

Affiliation:

1. Department of Mathematics, The George Washington University, Washington DC, USA

2. University of Gdańsk, Poland

3. Department of Mathematics, Jilin University, Changchun, 130012, P. R. China

Abstract

In this paper, we adjust the Yang–Baxter operators constructed by Jones for the HOMFLYPT polynomial. Then we compute the second homology for this family of Yang–Baxter operators. It has the potential to yield 2-cocycle invariants for links.

Funder

Simons Collaboration

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216521410145

Reference17 articles.

1. Partition function of the Eight-Vertex lattice model

2. Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles

3. Quandle cohomology and state-sum invariants of knotted curves and surfaces

4. Augmented biracks and their homology

5. An Introduction to Species and the Rack Space

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