On the skein module of the product of a surface and a circle

2018/04/16 by Patrick M. Gilmer, Gilmer, Patrick M., Gregor Masbaum +1
Mathematics · #57M99 #57N10 #57R56 #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA #msc:57M99 #msc:57N10 #msc:57R56

paper · pdf · doi:10.48550/arxiv.1804.05746

15 pages, 1 figure, to appear in Proc. A.M.S

arxiv created 2019/04/15 · arxiv updated 2019/04/16

Abstract

Let Sigma be a closed oriented surface of genus g. We show that the Kauffman bracket skein module of Sigma x S¹ over the field of rational functions in A has dimension at least 2^2g+1+2g-1.

Related

• Kauffman bracket skein module of a connected sum of 3-manifolds
• On the Kauffman bracket skein module of the 3-torus
• Sliced skein algebras and geometric Kauffman bracket
• On the Kauffman skein modules
• The Kauffman Bracket Skein Module at an irreducible representation