\(q\)-deformed KZB heat equation: completeness, modular properties and \(\text{SL}(3,\mathbb Z)\).

DOI10.1006/aima.2002.2080zbMath1057.32007arXivmath/0110081OpenAlexW2034030580MaRDI QIDQ1865274

Giovanni Felder, Alexander Varchenko

Publication date: 26 March 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110081

zbMATH Keywords

\(q\)-Knizhnik-Zamolodchikov-Bernard equationquadratic identities for generalized hypergeometric integralstraces of twinning operators

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Holomorphic modular forms of integral weight (11F11) Difference equations, scaling ((q)-differences) (39A13) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items

Traces of intertwiners for quantum affine algebras and difference equations (after Etingof-Schiffmann-Varchenko), Traces of intertwiners for quantum affine \(\mathfrak{sl}_2\) and Felder-Varchenko functions, Basic properties of non-stationary Ruijsenaars functions, A gerbe for the elliptic gamma function, Affine Macdonald conjectures and special values of Felder-Varchenko functions, The elliptic gamma function and \(\text{SL}(3,\mathbb Z)\ltimes\mathbb Z^3\)., Orthogonality and the qKZB-heat equation for traces of \(U_q({\mathfrak g})\)-intertwiners

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