Non-semi-simple TQFT of the sphere with four punctures

Martel, Jules

doi:10.1142/S0218216521500395

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Non-semi-simple TQFT of the sphere with four punctures

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Martel, Jules
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1142/S0218216521500395
(Publisher version)

https://doi.org/10.48550/arXiv.2006.07079
(Preprint)

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Citation

Martel, J. (2021). Non-semi-simple TQFT of the sphere with four punctures. Journal of Knot Theory and Its Ramifications, 30(6): 2150039. doi:10.1142/S0218216521500395.

Cite as: https://hdl.handle.net/21.11116/0000-0009-0930-7

Abstract

In this work, we compute the representation of the mapping class group of the sphere with 4 punctures arising from the non-semi-simple TQFT [C. Blanchet, F. Costantino, N. Geer and B. Patureau, Non-semi-simple TQFTs, Reidemeister torsion and Kashaev’s invariants, Adv. Math.301 (2016) 1–78]. We show that it is faithful. Lastly, we compare quantum representations of punctured spheres in general with those of braid groups.