Equivariant index and the moment map for completely integrable torus actions

DOI10.1006/aima.1997.1686zbMath0904.58017OpenAlexW2074747737MaRDI QIDQ1383907

Michael D. Grossberg, Yael Karshon

Publication date: 28 December 1998

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

Full work available at URL: https://doi.org/10.1006/aima.1997.1686

zbMATH Keywords

Dirac operatormoment mapequivariant indexvirtual representation\(\text{Spin}^c\) manifold

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (13)

Bott towers, complete integrability, and the extended character of representations ⋮ Additivity of spin$^c$-quantization under cutting ⋮ Criteria for Hattori-Masuda multi-polytopes via Duistermaat-Heckman functions and winding numbers ⋮ Some aspects of equivariant LS-category ⋮ RR-BS correspondence—a localization phenomenon of the index in geometric quantization ⋮ The multiplicities of the equivariant index of twisted Dirac operators ⋮ Symplectic reduction and Riemann-Roch formulas for multiplicities ⋮ A class of torus manifolds with nonconvex orbit space ⋮ Quantization of presymplectic manifolds and circle actions ⋮ Equivariant cobordism of torus orbifolds ⋮ Cohomology rings of a class of torus manifolds ⋮ Momentum maps and reduction in algebraic geometry ⋮ Quantisation of presymplectic manifolds, $K$-theory and group representations

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