Index formula for Hamiltonian loop group spaces

DOI10.1007/s00220-024-05089-1MaRDI QIDQ6592099

Yiannis Loizides

Publication date: 24 August 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) (K)-theory (19-XX) Symplectic geometry, contact geometry (53Dxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Norm-square localization for Hamiltonian \(L G\)-spaces
• The index formula for the moduli of \(G\)-bundles on a curve
• Geometric quantization for proper moment maps
• Zeros d'un champ de vecteurs et classes characteristiques équivariantes
• The moment map and equivariant cohomology
• String quantization on group manifolds and the holomorphic geometry of Diff \(S^ 1/S^ 1\)
• Equivariant KK-theory and the Novikov conjecture
• An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg
• Boundary value problems for Yang-Mills fields
• Two dimensional gauge theories revisited
• Complex immersions and Quillen metrics
• Elliptic operators and compact groups
• Some comments on Chern-Simons gauge theory
• Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface
• Lie group valued moment maps
• Cobordism for Hamiltonian loop group actions and flat connections on the punctured two-sphere
• Hamiltonian loop group actions and Verlinde factorization
• The moment map and equivariant cohomology with generalized coefficients
• Index theorem for equivariant Dirac operators on noncompact manifolds
• The Verlinde formulas as fixed point formulas.
• Surjectivity for Hamiltonian loop group spaces
• The heat kernel Lefschetz fixed point formula for the spin-c dirac operator
• The equivariant index of transversally elliptic operators
• Multiplicities formula for geometric quantization. I
• Witten deformation using Lie groupoids
• 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
• Equivariant Verlinde formula from fivebranes and vortices
• Sums of regular self-adjoint operators in Hilbert-\(C^{\ast}\)-modules
• Equivariant index of twisted Dirac operators and semi-classical limits
• Quantization of Hamiltonian loop group spaces
• Witten's formulas for intersection pairings on moduli spaces of flat \(G\)-bundles
• Transversal Index and L2-index for Manifolds with Boundary
• Index of transversally elliptic operators
• The Equivariant Index and Kirillov's Character Formula
• The Yang-Mills equations over Riemann surfaces
• Loop groups and twisted $K$-theory II
• Witten Non Abelian Localization for Equivariant K-Theory, and the [𝑄,𝑅=0 Theorem]
• Lectures on group-valued moment maps and Verlinde formulas
• The Yang-Mills heat flow on the moduli space of framed bundles on a surface
• FREDHOLM COMPLEXES
• Localization of the Riemann-Roch character

This page was built for publication: Index formula for Hamiltonian loop group spaces