1997/01/17 by Doug Bullock, Bullock, Doug, Charles Frohman +3
Mathematics · #57M99 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:57M99 #q-alg
paper · pdf · doi:10.48550/arxiv.q-alg/9701019
LaTeX2e v1.2, requires epsfig package, 4 pages, 17 figures inserted repeatedly
arxiv created 1997/01/17 · arxiv updated 2009/11/30
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.