Kauffman bracket skein module of the connected sum of two projective spaces

Details Kauffman bracket skein module of the connected sum of two projective spaces Kauffman bracket skein module of the connected sum of two projective spaces

2010-08-05

arxiv.org/abs/1008.1007v1

Mathematics

Geometric Topology

22 pages, 21 figures

Scientific paper

Diagrams and Reidemeister moves for links in a twisted S^1-bundle over an
unorientable surface are introduced. Using these diagrams, we compute the
Kauffman Bracket Skein Module (KBSM) of the connected sum of two projective
spaces. In particular, we show that it has torsion. We also present a new
computation of the KBSM of S^1 x S^2 and the lens spaces L(p,1).

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