A survey on skein modules via braids

Ioannis Diamantis*

*Corresponding author for this work

Research output: Working paper / PreprintPreprint

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Abstract

In this paper we present recent results on the computation of skein modules of 3-manifolds using braids and appropriate knot algebras. Skein modules generalize knot polynomials in S3 to knot polynomials in arbitrary 3-manifolds and they have become extremely essential algebraic tools in the study of 3-manifolds. In this paper we present the braid approach to the HOMFLYPT and the Kauffman bracket skein modules of the Solid Torus ST and the lens spaces L(p,1) and S1 X S2.
Original languageEnglish
PublisherCornell University - arXiv
Number of pages34
DOIs
Publication statusPublished - 11 Nov 2023

Publication series

SeriesarXiv.org
Number2311.06556v1
ISSN2331-8422

Keywords

  • math.GT
  • math.QA
  • 57K31, 57K14, 20F36, 20F38, 57K10, 57K12, 57K45, 57K35, 57K99, 20C08

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