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Skein homology

Published:1998-06-01
Printed: Jun 1998
• Doug Bullock
• Charles Frohman
• Joanna Kania-Bartoszyńska
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Abstract

A new class of homology groups associated to a 3-manifold is defined. The theories measure the syzygies between skein relations in a skein module. We investigate some of the properties of the homology theory associated to the Kauffman bracket.
 MSC Classifications: 57M25 - Knots and links in $S^3$ {For higher dimensions, see 57Q45} 57M99 - None of the above, but in this section