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

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-0930-7 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-FC7D-C
Genre: Journal Article

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arXiv:2006.07079.pdf (Preprint), 454KB
 
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 Creators:
Martel, Jules1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Geometric Topology
 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.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: 27
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2006.07079
DOI: 10.1142/S0218216521500395
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Title: Journal of Knot Theory and Its Ramifications
Source Genre: Journal
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Publ. Info: Wordl Scientific
Pages: - Volume / Issue: 30 (6) Sequence Number: 2150039 Start / End Page: - Identifier: -