English

Skein modules at the 4th roots of unity

Geometric Topology 2015-05-27 v2 Quantum Algebra

Abstract

The Kauffman bracket skein modules, S(M,A), have been calculated for A=+1,-1, for all 3-manifolds M by relating them to the SL(2,C)-character varieties. We extend this description to the case when A is a 4-th root of 1 and M is either a surface x [0,1] or a rational homology sphere (or its submanifold).

Keywords

Cite

@article{arxiv.math/0011148,
  title  = {Skein modules at the 4th roots of unity},
  author = {Adam S. Sikora},
  journal= {arXiv preprint arXiv:math/0011148},
  year   = {2015}
}

Comments

19 pages, 23 eps figures, to appear in Journal of Knot Theory and Its Ramifications. Corrections introduced

R2 v1 2026-07-22T16:35:50.834Z