Looijenga line bundles in complex analytic elliptic cohomology

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We present a calculation that shows how the moduli of complex analytic elliptic curves arises naturally from the Borel cohomology of an extended moduli space of U (1)-bundles on a torus. Furthermore, we show how the analogous calculation, applied to a moduli space of principal bundles for a K(Z,2) central extension of U (1)d, gives rise to Looijenga line bundles. We then speculate on the relation of these calculations to the construction of complex analytic equivariant elliptic cohomology.
Original languageEnglish (US)
Pages (from-to)1-42
Number of pages42
JournalTunisian Journal of Mathematics
Issue number1
StatePublished - 2020

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