Looijenga line bundles in complex analytic elliptic cohomology

Research output: Contribution to journalArticlepeer-review


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


  • Elliptic cohomology
  • Looijenga line bundle

ASJC Scopus subject areas

  • General Mathematics


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