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Classification of (2+1)-TQFTs and its applications to physics and quantum computation
by
Zhenghan Wang
Microsoft Station Q/UCSB
Coauthors: P. Bruillard, S.-H. Ng, E. Rowell
We classify (2+1)-TQFTs, not necessarily fully extended, by classifying their modular categories.
A recent proof of the rank-finiteness conjecture for modular categories by P. Bruillard, S.-H. Ng, E. Rowell and myself implies
that in principle we can list all modular categories of a given rank.
This classification program is inspired by the classification of 2D topological phases of matter, and is part of the mathematical
foundation of topological quantum computation.
Date received: December 15, 2014
Copyright © 2014 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbjz-59.