dorsal/arxiv
View SchemaApplications of the lantern identity
| Authors | Stavros Garoufalidis |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9708019 |
| URL | https://arxiv.org/abs/q-alg/9708019 |
Abstract
The purpose of this note is to unify the role of the lantern identity in the proof of several finiteness theorems. In particular, we show that for every nonnegative integer m, the vector space (over the rationals) of type m (resp. T-type m) invariants of integral homology 3-spheres are finite dimensional. These results have already been obtained by [Oh] and [GL2] respectively; our derivation however is simpler, conceptual and relates to several other applications of the lantern identity.
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"abstract": "The purpose of this note is to unify the role of the lantern identity in the\nproof of several finiteness theorems. In particular, we show that for every\nnonnegative integer m, the vector space (over the rationals) of type m (resp.\nT-type m) invariants of integral homology 3-spheres are finite dimensional.\nThese results have already been obtained by [Oh] and [GL2] respectively; our\nderivation however is simpler, conceptual and relates to several other\napplications of the lantern identity.",
"arxiv_id": "q-alg/9708019",
"authors": [
"Stavros Garoufalidis"
],
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"q-alg",
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"title": "Applications of the lantern identity",
"url": "https://arxiv.org/abs/q-alg/9708019"
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