Seminar By Gregor Masbaum (Institut de mathématiques de Jussieu)

Title: Bases for Integral TQFT lattices, part II

2013.10.22 | Christine Dilling

Date Wed 23 Oct
Time 15:15 16:15
Location Aud. D3

Some years ago, Gilmer and I showed that 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 SU(2)-case as well (but still at the prime p). This is work in progress. Some familiarity with skein theory will be assumed.