Quantum cyclotomic orders of 3-manifolds

Tim D. Cochran; Paul Melvin

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arXiv · math/9809129

Quantum cyclotomic orders of 3-manifolds

Tim D. Cochran·Paul Melvin

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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.

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BibTeX RIS

Tim D. Cochran, Paul Melvin. 1999-08-26. Quantum cyclotomic orders of 3-manifolds. https://arxiv.org/abs/math/9809129

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