53 citations · 291 across the 36 of their papers we have counts for
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math.QA2004★ 53 cited
Integral Lattices in TQFT
Patrick M. Gilmer, Gregor Masbaum
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 application…
math.QA2002★ 14 cited
Integral bases for TQFT modules and unimodular representations of mapping class groups
Patrick M. Gilmer, Gregor Masbaum, Paul van Wamelen
We construct integral bases for the SO(3)-TQFT-modules of surfaces in genus one and two at roots of unity of prime order and show that the corresponding mapping class group represe…
math.QA2001★ 3 cited
Integrality for TQFTs
Patrick M. Gilmer
We discuss ways that the ring of coefficients for a TQFT can be reduced if one restricts somewhat the allowed cobordisms. When we apply these methods to a TQFT associated to SO(3)…