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, 57M99 show english descriptions Knots and links in $S^3$ {For higher dimensions, see 57Q45}
None of the above, but in this section 57M25 - Knots and links in $S^3$ {For higher dimensions, see 57Q45}
57M99 - None of the above, but in this section

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