TY - JOUR
T1 - The genus one complex quantum Chern-Simons representation of the mapping class group
AU - Ellegaard Andersen, Jørgen
AU - Marzioni, Simone
PY - 2023/11/9
Y1 - 2023/11/9
N2 - 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 Gℂ. We use a generalization of the Weil-Gel'fand-Zak transform to exhibit an explicit expression for the representation.
AB - 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 Gℂ. We use a generalization of the Weil-Gel'fand-Zak transform to exhibit an explicit expression for the representation.
KW - Complex quantum Chern-Simons theory
KW - Genus one Moduli spaces
KW - Geometric quantization
KW - Hitchin-Witten connection
U2 - 10.1142/S0218216523400096
DO - 10.1142/S0218216523400096
M3 - Journal article
AN - SCOPUS:85176559971
SN - 0218-2165
JO - Journal of Knot Theory and Its Ramifications
JF - Journal of Knot Theory and Its Ramifications
M1 - 2340009
ER -