Quantum Cyclotomic Orders of 3-manifolds
نویسنده
چکیده
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 are given as well.
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