English

Applications of the lantern identity

q-alg 2008-02-03 v1 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.q-alg/9708019,
  title  = {Applications of the lantern identity},
  author = {Stavros Garoufalidis},
  journal= {arXiv preprint arXiv:q-alg/9708019},
  year   = {2008}
}

Comments

Latex2e, 6 pages

R2 v1 2026-07-22T19:22:06.774Z