dorsal/arxiv
View SchemaSkein Homology
| Authors | Doug Bullock, Charles Frohman, Joanna Kania-Bartoszynska |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9701019 |
| URL | https://arxiv.org/abs/q-alg/9701019 |
Abstract
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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"abstract": "For each skein module we describe a homology theory which, for any three\nmanifold recovers the skein module at its zero level. The theory measures\nskein-like relations among skein relations, mimicking Hilbert\u0027s theory of\nsyzygies. We work explicit examples for the homology groups corresponding to\nthe Kauffman bracket. It is shown, in particular, that for every manifold most\nof the groups are non-trivial.",
"arxiv_id": "q-alg/9701019",
"authors": [
"Doug Bullock",
"Charles Frohman",
"Joanna Kania-Bartoszynska"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Skein Homology",
"url": "https://arxiv.org/abs/q-alg/9701019"
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