Quantum cyclotomic orders of 3-manifolds
Geometric Topology
2010-04-14 v4 Quantum Algebra
Abstract
This paper provides a topological interpretation for number theoretic properties of quantum invariants of 3-manifolds. In particular, it is shown that the p-adic valuation of the quantum SO(3)-invariant of a 3-manifold M, for odd primes p, is bounded below by a linear function of the mod p first betti number of M. Sharper bounds using more delicate topological invariants related to Massey products are given as well.
Keywords
Cite
@article{arxiv.math/9809129,
title = {Quantum cyclotomic orders of 3-manifolds},
author = {Tim D. Cochran and Paul Melvin},
journal= {arXiv preprint arXiv:math/9809129},
year = {2010}
}
Comments
Final version for publication (to appear in Topology). Only minor changes from the first posted version