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4:00 pm Monday, October 19, 2009 STULKEN TOPOLOGY SEMINAR: Integral TQFTs from Quantum Doublesby
Professor Thomas Kerler (Ohio State University) in HB 427- Roughly speaking TQFTs are linear representations of cobordism categories. Of particular interest are integral TQFTs for which these representations lie in free or projective modules of rings of integers. We will show that such TQFTs can be constructed for any Hopf algebra A over a Dedekind ring R, if A is projective as an R-module. On closed 3-manifolds these TQFTs specialize to the so called Hennings invariants for the Drinfel'd double of A. Using prior work of Chen, Kuppum, and Srinivasan this implies an alternate proof that the Witten Reshetikhin Turaev invariants take values in the ring of cyclotomic integers. [Joint work with Qi Chen]
Submitted by cochran@rice.edu |