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Kauffman bracket skein module of the connected sum of two projective spaces (1008.1007v1)

Published 5 Aug 2010 in math.GT

Abstract: Diagrams and Reidemeister moves for links in a twisted S1-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 S1 x S2 and the lens spaces L(p,1).

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