A faithful 2-dimensional TQFT

2017/11/16 by Stevan Gajovic, Gajovic, Stevan, Zoran Petric +3 · 1 citation
Mathematics · #15A69 #18A22 #18D10 #57R56 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:15A69 #msc:18A22 #msc:18D10 #msc:57R56

paper · pdf · doi:10.48550/arxiv.1711.06044

Stevan Gajovic is the new co-author of the paper. Some additional comments, 8 pages

arxiv created 2019/08/27 · arxiv updated 2019/08/28

Abstract

It has been shown in this paper that the commutative Frobenius algebra QZ₅⊗ Z(QS₃) provides a complete invariant for two-dimensional cobordisms, i.e., that the corresponding two-dimensional quantum field theory is faithful. The essential role in the proof of this result plays Zsigmondy's Theorem.

Cited by

• Restricted (2+1)-TQFTs supported by thickened and solid tori

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