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Bases for Integral TQFT lattices, part II

Gregor Masbaum
(Institut de mathématiques de Jussieu)
Onsdag, 23 oktober, 2013, at 15:15-16:15, in Aud. D3 (1531-215)
Some years ago, Gilmer and I showed that $\mathrm{SO}(3)$-TQFT at odd primes admits an integral refinement, meaning that the TQFT vector space associated to a surface contains a natural mapping class group invariant free lattice defined over the ring $Z[\zeta_p]$ where $\zeta_p$ is a primitive $p$-th root of unity. In this talk, I plan to first review our description of a basis of this lattice, and then to explain how to modify this construction to get a basis in the $\mathrm{SU}(2)$-case as well (but still at the prime $p$). This is work in progress. Some familiarity with skein theory will be assumed.
Kontaktperson: Jørgen Ellegaard Andersen