TY - JOUR
T1 - Looijenga line bundles in complex analytic elliptic cohomology
AU - Rezk, Charles
N1 - Funding Information:
The author was supported by NSF grant DMS-1406121. MSC2010: primary 55N34; secondary 55N91, 55R40. Keywords: elliptic cohomology, Looijenga line bundle.
Publisher Copyright:
© 2020 Mathematical Sciences Publishers.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
KW - Elliptic cohomology
KW - Looijenga line bundle
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U2 - 10.2140/tunis.2020.2.1
DO - 10.2140/tunis.2020.2.1
M3 - Article
SN - 2576-7658
VL - 2
SP - 1
EP - 42
JO - Tunisian Journal of Mathematics
JF - Tunisian Journal of Mathematics
IS - 1
ER -