Gregor Masbaum

(Institut de mathÃ©matiques de Jussieu)

(Institut de mathÃ©matiques de Jussieu)

Seminar

Wednesday, 23 October, 2013, at 15:15-16:15, in Aud. D3 (1531-215)

Abstract:

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.

Contact person: Jørgen Ellegaard Andersen