A construction of complex analytic elliptic cohomology from double free loop spaces

DOI10.1112/S0010437X21007363zbMath1480.55008arXiv1910.05659OpenAlexW3184069832MaRDI QIDQ5009392

Matthew Spong

Publication date: 23 August 2021

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05659

zbMATH Keywords

equivariant elliptic cohomologydouble loop spacesdouble loop groups

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Equivariant homology and cohomology in algebraic topology (55N91) Elliptic cohomology (55N34)

Related Items (1)

On equivariant topological modular forms

Cites Work

• The moment map and equivariant cohomology
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Central extensions of current groups in two dimensions
• Equivariant \(K\)-theory and equivariant cohomology
• Looijenga line bundles in complex analytic elliptic cohomology
• A de Rham model for complex analytic equivariant elliptic cohomology
• Equivariant elliptic cohomology and rigidity
• The elliptic Weyl character formula
• Power operations in elliptic cohomology and representations of loop groups
• Quantization of the modular functor and equivariant elliptic cohomology
• Unnamed Item

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