Hitchin's Projectively Flat Connection, Toeplitz Operators and the Asymptotic Expansion of TQFT Curve Operators

zbMath1232.53078arXiv0903.4091MaRDI QIDQ3172669

Niels Leth Gammelgaard, Jørgen Ellegaard Andersen

Publication date: 5 October 2011

Full work available at URL: https://arxiv.org/abs/0903.4091

zbMATH Keywords

moduli spaceToeplitz operatorsstar productmodular functorTQFTHitchin connectionBerezin-Toeplitz quantization

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Topological quantum field theories (aspects of differential topology) (57R56) Geometric quantization (53D50)

Related Items (9)

Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results ⋮ Modular functors are determined by their genus zero data ⋮ Hitchin's connection in metaplectic quantization ⋮ The Witten-Reshetikhin-Turaev invariants of finite order mapping tori. II. ⋮ Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory ⋮ Norm estimates and asymptotic faithfulness of the quantum \(SU (n)\) representations of the mapping class group ⋮ The first cohomology of the mapping class group with coefficients in algebraic functions on the \(\mathrm{SL}_2(\mathbb C)\) moduli space. ⋮ Asymptotic properties of the Hitchin-Witten connection ⋮ Formal connections for families of star products

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