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

Kauffman bracket skein module of the connected sum of two projective spaces
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两个射影空间连通和的考夫曼括号绞纱模

DOI:
10.1142/s0218216511008905
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发表时间:
2010
期刊:
arXiv: Geometric Topology
影响因子:
--
通讯作者:
M. Mroczkowski
M. Mroczkowski
中科院分区:
--
文献类型:
--
作者:
M. Mroczkowski

文献摘要

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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).