Surjectivity for Hamiltonian loop group spaces

DOI10.1007/s00222-003-0319-2zbMath1067.53067arXivmath/0210036OpenAlexW2045237862MaRDI QIDQ1879012

Susan Tolman, Jonathan Weitsman, Raoul Bott

Publication date: 22 September 2004

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

Full work available at URL: https://arxiv.org/abs/math/0210036

zbMATH Keywords

Morse theorysymplectic reductionequivariant cohomologymomentum map

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Momentum maps; symplectic reduction (53D20)

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The biinvariant diagonal class for Hamiltonian torus actions, Quantization of Hamiltonian loop group spaces, Reduction theory for singular symplectic manifolds and singular forms on moduli spaces, Norm-square localization for Hamiltonian \(L G\)-spaces, Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz., Norm-square localization and the quantization of Hamiltonian loop group spaces, Witten's formulas for intersection pairings on moduli spaces of flat \(G\)-bundles