Modular Lagrangians and the theta multiplier

DOI10.1007/BF01231183zbMath0699.10042OpenAlexW1973142287MaRDI QIDQ912898

John J. Millson, Dennis L. Johnson

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143781

zbMATH Keywords

charactercocycleexplicit formulaLagrangianssymplectic theta series

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27)

Related Items

Abelian quotients of mapping class groups of highly connected manifolds ⋮ On the dimensions of spaces of Siegel modular forms of weight one ⋮ The anomaly line bundle of the self-dual field theory ⋮ The global gravitational anomaly of the self-dual field theory ⋮ The algebraic functional equation of Riemann's theta function ⋮ Rochlin invariants, theta multipliers and holonomy ⋮ Mapping class groups of highly connected \((4k+2)\)-manifolds ⋮ Theta functions and a presentation of \(2^{1 +(2 g + 1)} \mathsf{Sp}(2 g, 2)\) ⋮ Some hermitian K-groups via geometric topology ⋮ Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic ⋮ Embedding all contact 3‐manifolds in a fixed contact 5‐manifold

Cites Work

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• On the Graded Ring of Theta-Constants
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura