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Showing 1 to 7 of 7 for “"elliptic cohomology"”.
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Quasi-elliptic cohomology
We introduce and study quasi-elliptic cohomology, a theory related to Tate K-theory but built over the ring $\mathbb{Z}[q^{\pm}]$. In Chapter 2 we build an orbifold version of the theory, inspired by Devoto's equivariant Tate K-theory. In Chapter 3 we construct power operation in the orbifold …
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Equivariant elliptic cohomology and rigidity
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1999.
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Homotopy Topoi and Equivariant Elliptic Cohomology
… elegant construction of the equivariant elliptic cohomology associated to an oriented elliptic curve A and a compact abelian Lie group G as an essential geometric morphism of homotopy topoi. It follows that our definition satisfies a conceptually simpler homotopy-theoretic analogue of the …
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Torus equivariant elliptic cohomology and sigma orientations
… \colon= \mathds{C}/ \Lambda$ be a complex elliptic curve. In this paper, we give a detailed construction of torus equivariant elliptic cohomology, which is a sheaf of $ \mathcal{ O}_{\mathcal{C}^n}$-algebras over $ \mathcal{C}^n$. As applications, we construct global sections for sigma …
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Equivariant elliptic cohomology and twisted equivariant k-theory
Equivariant elliptic cohomology and twisted equivariant K-theory are both related to the representations of loop groups. After making these relationships precise, we propose a map from twisted equivariant elliptic cohomology to twisted K-theory of the inertia stack using equivariant de Rham models. …
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Boundaries, States and Cohomology in Three-Dimensional N = 4 Theories
… on 3d N = 4 gauge theories compactified on an elliptic curve, and provide physical realisations of the equivariant elliptic cohomology of symplectic resolutions, and recent constructions therein. The Berry connection for supersymmetric ground states in the presence of mass parameters and flat …
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Orbifold genera, product formulas and power operations
… Verlinde and Verlinde, expressing the orbifold elliptic genus of the symmetric powers of an almost complex manifold M in terms of the elliptic genus of M itself. We show that from the point of view of elliptic cohomology an analogous p-typical statement follows as an easy corollary from the fact …