The genus one complex quantum Chern-Simons representation of the mapping class group

Jørgen Ellegaard Andersen*, Simone Marzioni

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Abstract

In this paper, we compute explicitly, following Witten's prescription, the quantum representation of the mapping class group in genus one for complex quantum Chern-Simons theory associated to any simple and simply connected complex gauge group G. We use a generalization of the Weil-Gel'fand-Zak transform to exhibit an explicit expression for the representation.

OriginalsprogEngelsk
Artikelnummer2340009
TidsskriftJournal of Knot Theory and Its Ramifications
ISSN0218-2165
DOI
StatusE-pub ahead of print - 9. nov. 2023

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