arXiv Open Access 2022

Decorated TQFTs and their Hilbert Spaces

Mrunmay Jagadale
Lihat Sumber

Abstrak

We discuss topological quantum field theories that compute topological invariants which depend on additional structures (or decorations) on three-manifolds. The $q$-series invariant $\hat{Z}(q)$ 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 $\hat{Z}$-TQFT.

Penulis (1)

M

Mrunmay Jagadale

Format Sitasi

Jagadale, M. (2022). Decorated TQFTs and their Hilbert Spaces. https://arxiv.org/abs/2206.14967

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2022
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓