Looijenga line bundles in complex analytic elliptic cohomology
作者: Charles Rezk
刊名: Tunisian Journal of Mathematics, 2020, Vol.2 (1), pp.1-42
来源数据库: Project Euclid
DOI: 10.2140/tunis.2020.2.1
关键词: Elliptic cohomologyLooijenga line bundle
原始语种摘要: 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.
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  • cohomology 上同调
  • analytic 解析的
  • elliptic 椭圆形的
  • complex 超群
  • bundles 
  • calculation 计算
  • construction 构造
  • naturally 当然
  • extended 扩展
  • Borel 博雷尔牌手表