- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:39
Quantum Topology
Quantum Topol.
QT
1663-487X
1664-073X
General
10.4171/QT
http://www.ems-ph.org/doi/10.4171/QT
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
5
2014
2
Irreducible factors of modular representations of mapping class groups arising in Integral TQFT
Patrick
Gilmer
Louisiana State University, BATON ROUGE, UNITED STATES
Gregor
Masbaum
Université Paris 7, Denis Diderot, PARIS CEDEX 05, FRANCE
Lollipop basis, Topological Quantum Field Theory, skein theory, symplectic group, Verlinde formula
We find decomposition series of length at most two for modular representations in positive characteristic of mapping class groups of surfaces induced by an integral version of the Witten–Reshetikhin–Turaev SO(3)-TQFT at the $p$-th root of unity, where $p$ is an odd prime. The dimensions of the irreducible factors are given by Verlinde-type formulas.
Manifolds and cell complexes
General
225
258
10.4171/QT/51
http://www.ems-ph.org/doi/10.4171/QT/51