Quantum deformations of fundamental groups of oriented 3-manifolds

2002/02/27 by Uwe Kaiser, Kaiser, Uwe
Computer Science · Mathematics · #57M25 #57M35 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Topological and Geometric Data Analysis #math.GT #math.QA #msc:57M25 #msc:57M35

paper · pdf · doi:10.48550/arxiv.math/0202293

14 pages,1 figure

arxiv created 2002/02/27 · openalex publication_date 2002/02/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute two-term skein modules of framed oriented links in oriented 3-manifolds. They contain the self-writhe and total linking number invariants of framed oriented links in a universal way. The relations in a natural presentation of the skein module are interpreted as monodromies in the space of immersions from circles to the 3-manifold.

Related

• Homotopy and q-homotopy skein modules of 3-manifolds: an example in Algebra Situs
• Stated skein modules of marked 3-manifolds/surfaces, a survey
• Parabolic skein modules
• Quantum invariants of 3-manifolds and links: a review
• The Kauffman skein module at first order