Skein Homology

Details Skein Homology Skein Homology

1997-01-17

arxiv.org/abs/q-alg/9701019v1

Mathematics

Quantum Algebra

LaTeX2e v1.2, requires epsfig package, 4 pages, 17 figures inserted repeatedly

Scientific paper

For each skein module we describe a homology theory which, for any three manifold recovers the skein module at its zero level. The theory measures skein-like relations among skein relations, mimicking Hilbert's theory of syzygies. We work explicit examples for the homology groups corresponding to the Kauffman bracket. It is shown, in particular, that for every manifold most of the groups are non-trivial.

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