# Tag Info

### Fully extended TQFT and lattice models

It may take a bit of extraction, but positive answers to both of your questions follow from my results joint with Gaiotto in Condensations in higher categories (arXiv:1905.09566). In that paper we ...
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### What do physicists mean by a topological quantum gravity theory

Physicists here. The input for a physical theory is always some topological space and some structure (such as a metric) that depends on the specific context. The dynamics are invariant under the ...

### Classifying TQFTs with 1d vector spaces

They are called "invertible field theories". See https://www.ma.utexas.edu/users/dafr/M392C-2012/index.html, lectures 17-24 for the relation to Madsen-Tillmann spectra.
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### How are the Walker-Wang TQFT and the Crane-Yetter TQFT related?

Yes, the Walker-Wang model is related to the Crane-Yetter-Kauffman TQFT in the same way the Levin-Wen model is related to the Turaev-Viro TQFT. See, for example, the table on page 14 of the notes ...
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• 108k