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Integral Lattices in TQFT

Patrick M. Gilmer, Gregor Masbaum

math.QAarXiv:math/0411029

Abstract

We find explicit bases for naturally defined lattices over a ring of algebraic integers in the SO(3) TQFT-modules of surfaces at roots of unity of odd prime order. Some applications relating quantum invariants to classical 3-manifold topology are given.

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