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arxiv: math/0411029 · v2 · pith:CDTDBKXZnew · submitted 2004-11-01 · 🧮 math.QA · math.GT

Integral Lattices in TQFT

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keywords latticesalgebraicapplicationsbasesclassicaldefinedexplicitfind
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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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