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Abstract
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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
-bundles on a
torus. Furthermore, we show how the analogous calculation, applied to a moduli space of principal
bundles for a
central extension of
,
gives rise to Looijenga line bundles. We then speculate on the relation of
these calculations to the construction of complex analytic equivariant elliptic
cohomology.
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Keywords
elliptic cohomology, Looijenga line bundle
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Mathematical Subject Classification 2010
Primary: 55N34
Secondary: 55N91, 55R40
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Milestones
Received: 26 February 2018
Revised: 4 August 2018
Accepted: 19 August 2018
Published: 22 March 2019
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