Toeplitz operators in TQFT via skein theory

Abstract

Topological quantum field theory associates to a punctured surface Σ, a level r and colors c in {1, . . . , r− 1} at the marked points a finite dimensional hermitian space Vr(Σ, c). Curves γ on Σ act as Hermitian operator T γ r on these spaces. In the case of the punctured torus and the 4 times punctured sphere, we prove that the matrix elements of T γ r… (More)

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