Deformation of Dirac operators along orbits and quantization of noncompact Hamiltonian torus manifolds

DOI10.4153/S0008414X2100016XzbMath1493.19005arXiv2001.02280OpenAlexW3135597333MaRDI QIDQ5095800

Publication date: 10 August 2022

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02280

zbMATH Keywords

localization geometric quantization equivariant index

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Exotic index theories on manifolds (58J22) Geometric quantization (53D50) Index theory (19K56)

Cites Work

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An equivariant index for proper actions. I
Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory
\(S^1\)-equivariant local index and transverse index for non-compact symplectic manifolds
The joint spectral flow and localization of the indices of elliptic operators
An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg
Supersymmetry and Morse theory
Elliptic operators and compact groups
Geometric quantization of symplectic manifolds with respect to reducible non-negative polarizations
A Danilov-type formula for toric origami manifolds via localization of index
Index theorem for equivariant Dirac operators on noncompact manifolds
Geometric quantization for proper moment maps: the Vergne conjecture
\(LT\)-equivariant index from the viewpoint of \(KK\)-theory. A global analysis on the infinite-dimensional Heisenberg group
Spinor modules for Hamiltonian loop group spaces
A \(KK\)-theoretic perspective on deformed Dirac operators
Norm-square localization and the quantization of Hamiltonian loop group spaces
An analytic \(LT\)-equivariant index and noncommutative geometry
Quantization of Hamiltonian loop group spaces
Torus fibrations and localization of index. II. Local index for acyclic compatible system
Torus fibrations and localization of index. III: Equivariant version and its applications
The index of elliptic operators. I
Torus fibrations and localization of index I
Localization of the Riemann-Roch character

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