Mock modular forms and geometric theta functions for indefinite quadratic forms

DOI10.1088/1751-8121/aa848bzbMath1376.81058OpenAlexW2745145061MaRDI QIDQ4589365

Stephen S. Kudla, Jens Funke

Publication date: 10 November 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/22607/1/22607.pdf

zbMATH Keywords

Weil representationmoonshineindefinite theta series and integralsMock modular forms

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Relationship to Lie algebras and finite simple groups (11F22) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) General binary quadratic forms (11E16)

Related Items (10)

Indefinite theta series and generalized error functions ⋮ Siegel theta series for quadratic forms of signature \((m - 1, 1)\) ⋮ Theta integrals and generalized error functions ⋮ Squashed toric manifolds and higher depth mock modular forms ⋮ On some incomplete theta integrals ⋮ Modularity of generating series of winding numbers ⋮ Three-manifold quantum invariants and mock theta functions ⋮ An exact formula for $\mathbf {U (3)}$ Vafa-Witten invariants on $\mathbb {P}^2$ ⋮ Vafa-Witten theory and iterated integrals of modular forms ⋮ The construction of Green currents and singular theta lifts for unitary groups

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