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From 3-manifolds to modular data
- Qiu, Yang
- Advisor(s): Wang, Zhenghan
Abstract
The progress of TQFT has revealed connections between the algebraic world of tensor categories and the topological world of 3-manifolds, such as Reshetikhin-Turaev and Turaev-Viro theories. Motivated by M-theory in physics, Cho-Gang-Kim recently proposed another relation by outlining a program to construct modular data from certain classes of closed oriented 3-manifolds. In this thesis, we will talk about our mathematical exploration of this program.
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