dorsal/arxiv
View SchemaFinite type 3-manifold invariants and the structure of the Torelli
| Authors | Stavros Garoufalidis, Jerome Levine |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9609027 |
| URL | https://arxiv.org/abs/q-alg/9609027 |
Abstract
We apply the theory of finite-type invariants of homology 3-spheres to investigate the structure of the Torelli group. We construct natural cocycles in the Torelli group and show that the lower central series quotients of the Torelli group map onto a vector space of trivalent graphs. We also have analogous results for two other natural subgroups of the mapping class group.
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"abstract": "We apply the theory of finite-type invariants of homology 3-spheres to\ninvestigate the structure of the Torelli group. We construct natural cocycles\nin the Torelli group and show that the lower central series quotients of the\nTorelli group map onto a vector space of trivalent graphs. We also have\nanalogous results for two other natural subgroups of the mapping class group.",
"arxiv_id": "q-alg/9609027",
"authors": [
"Stavros Garoufalidis",
"Jerome Levine"
],
"categories": [
"q-alg",
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"title": "Finite type 3-manifold invariants and the structure of the Torelli",
"url": "https://arxiv.org/abs/q-alg/9609027"
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