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Symplectic reduction and Riemann-Roch for circle actions

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Publication:1902219
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DOI10.4310/MRL.1995.v2.n3.a3zbMath0839.58026OpenAlexW2069126550MaRDI QIDQ1902219

J. J. Duistermaat, Siye Wu, Eckhard Meinrenken, Victor W. Guillemin

Publication date: 16 November 1995

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.1995.v2.n3.a3

zbMATH Keywords

symplectic manifoldsgroup actionHermitian line bundle


Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)


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RR-BS correspondence—a localization phenomenon of the index in geometric quantization, Torus fibrations and localization of index. III: Equivariant version and its applications, Symplectic reduction and Riemann-Roch formulas for multiplicities, \(K\)-theory and the quantization commutes with reduction problem, On the cohomology of a polarization which contains the generators of a free torus action., Quantization of presymplectic manifolds and circle actions, Symplectic surgery and the Spin\(^c\)-Dirac operator, Witten Non Abelian Localization for Equivariant K-Theory, and the [𝑄,𝑅=0 Theorem], Momentum maps and reduction in algebraic geometry, Convex polytopes and quantization of symplectic manifolds



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