Hitchin's and WZW connections are the same

DOI10.4310/jdg/1214461110zbMath0987.14027OpenAlexW1539892159WikidataQ115173838 ScholiaQ115173838MaRDI QIDQ5960510

Yves Laszlo

Publication date: 8 April 2002

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214461110

zbMATH Keywords

conformal field theorygeneralized theta functionsHitchin connectionmoduli stack of genus \(g\) pointed curvesWZW connection

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Quantization in field theory; cohomological methods (81T70) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (21)

THE HITCHIN CONNECTION IN ARBITRARY CHARACTERISTIC ⋮ Conformal nets. II: Conformal blocks ⋮ On the Witten–Reshetikhin–Turaev invariants of torus bundles ⋮ Asymptotics of the Hilbert-Schmidt norm of curve operators in TQFT ⋮ Rigid local systems and the multiplicative eigenvalue problem ⋮ Simply-laced quantum connections generalising KZ ⋮ Non-semisimple TQFT's and BPS \(q\)-series ⋮ A Hitchin connection on nonabelian theta functions for parabolic \(G\)-bundles ⋮ Virasoro constraints in Drinfeld-Sokolov hierarchies ⋮ Hitchin's connection, Toeplitz operators, and symmetry invariant deformation quantization ⋮ Hitchin's connection in metaplectic quantization ⋮ Modular functors, cohomological field theories, and topological recursion ⋮ Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory ⋮ Conformal blocks from vertex algebras and their connections on \(\overline{\mathcal{M}}_{g,n}\) ⋮ Geometric quantization, complex structures and the coherent state transform ⋮ Asymptotic properties of the quantum representations of the mapping class group ⋮ A TQFT from quantum Teichmüller theory ⋮ Generalized theta functions, strange duality, and odd orthogonal bundles on curves ⋮ Asymptotic properties of the Hitchin-Witten connection ⋮ Asymptotic expansions of the Witten–Reshetikhin–Turaev invariants of mapping tori I ⋮ Formal connections for families of star products

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