Applications of the lantern identity

Details Applications of the lantern identity Applications of the lantern identity

1997-08-19

arxiv.org/abs/q-alg/9708019v1

Mathematics

Quantum Algebra

Latex2e, 6 pages

Scientific paper

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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