ON TURAEV'S THEOREM ABOUT DIJKGRAAF–WITTEN INVARIANTS OF SURFACES
Abstract
Turaev proves a formula for the Dijkgraaf–Witten invariants of surfaces in terms of projective representations by using the state sum invariant technique from quantum topology. In this paper, we present another proof of Turaev's theorem by using classical method of characters and representation theory. A version of Turaev's formula for surfaces with boundary is also given.
Dedicated to Professor Nguyen Tu Cuong on the Occasion of His Sixtieth Birthday.
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