Decorated TQFTs and their Hilbert Spaces
High Energy Physics - Theory
2022-07-01 v1 Mathematical Physics
Geometric Topology
math.MP
Abstract
We discuss topological quantum field theories that compute topological invariants which depend on additional structures (or decorations) on three-manifolds. The -series invariant proposed by Gukov, Pei, Putrov and Vafa is an example of such an invariant. We describe how to obtain these decorated invariants by cutting and gluing, and make a proposal for Hilbert spaces that are assigned to two-dimensional surfaces in the -TQFT.
Cite
@article{arxiv.2206.14967,
title = {Decorated TQFTs and their Hilbert Spaces},
author = {Mrunmay Jagadale},
journal= {arXiv preprint arXiv:2206.14967},
year = {2022}
}
Comments
19 pages, 7 figures