An effective field theory model for differential elliptic cohomology at the Tate curve Article Swipe
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Cohomology
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We construct a model for differential elliptic cohomology at the Tate curve whose cocycles are families of 2-dimensional effective supersymmetric field theories. A geometrically-motivated modularity condition requires partition functions to take values in TMF with complex coefficients. Cocycles satisfying this condition yield classes in a 24-periodic differential cohomology theory whose coefficients are the ring of integral modular forms. We construct examples of cocycles from families of string manifolds and principal bundles with structure group the monster.
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