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Applications of the lantern identity

Authors
  • Garoufalidis, Stavros
Type
Preprint
Publication Date
Aug 19, 1997
Submission Date
Aug 19, 1997
Identifiers
arXiv ID: q-alg/9708019
Source
arXiv
License
Unknown
External links

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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