Integral Lattices in TQFT
Quantum Algebra
2015-12-22 v2 Geometric Topology
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.
Cite
@article{arxiv.math/0411029,
title = {Integral Lattices in TQFT},
author = {Patrick M. Gilmer and Gregor Masbaum},
journal= {arXiv preprint arXiv:math/0411029},
year = {2015}
}
Comments
31 pages, v2: minor modifications. To appear in Ann. Sci. Ecole Norm. Sup