Presentations of Homotopy Skein Modules of Oriented 3-Manifolds

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Abstract

A new method to derive presentations of skein modules is developed. For the case of homotopy skein modules it will be shown how the topology of a 3-manifold is reflected in the structure of the module. The freeness problem for q-homotopy skein modules is solved, and a natural skein module related to linking numbers is computed.

Original languageAmerican English
Pages (from-to)461-491
Number of pages31
JournalMathematics Faculty Publications and Presentations
Volume10
Issue number3
DOIs
StatePublished - 1 May 2001

Keywords

  • 3-manifolds
  • links
  • singular tori
  • skein-modules

EGS Disciplines

  • Mathematics

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