Power operations in elliptic cohomology and representations of loop groups

DOI10.1090/S0002-9947-00-02412-0zbMath0958.55016MaRDI QIDQ4508138

Matthew Ando

Publication date: 3 October 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Equivariant homology and cohomology in algebraic topology (55N91) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Related Items (19)

Norm coherence for descent of level structures on formal deformations ⋮ Elliptic stable envelopes and hypertoric loop spaces ⋮ Circle-equivariant classifying spaces and the rational equivariant sigma genus ⋮ A de Rham model for complex analytic equivariant elliptic cohomology ⋮ Strictly commutative complex orientation theory ⋮ Looijenga line bundles in complex analytic elliptic cohomology ⋮ How to sheafify an elliptic quantum group ⋮ Conformal field theory and elliptic cohomology ⋮ \(K(1)\)-local topological modular forms ⋮ Topological modular forms with level structure ⋮ The Hecke algebra action and the Rezk logarithm on Morava E-theory of height 2 ⋮ The sigma orientation for analytic circle-equivariant elliptic cohomology ⋮ Representations of the elliptic affine Hecke algebras ⋮ Semistable models for modular curves and power operations for Morava E-theories of height 2 ⋮ Closed and open conformal field theories and their anomalies ⋮ A construction of complex analytic elliptic cohomology from double free loop spaces ⋮ Completed \(K\)-theory and equivariant elliptic cohomology ⋮ Power operations in the Stolz-Teichner program ⋮ The elliptic Weyl character formula

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