The paper computes the second group cohomology of complex deformations of the circle, identifies extending cocycles including a relative one with rotation number and conformal radius, and proves Virasoro uniformization for Segal moduli spaces.
Moduli of J -holomorphic curves with L agrangian boundary conditions and open G romov- W itten invariants for an S^1 -equivariant pair
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Complex deformations of the circle: Group cohomology and Virasoro uniformization
The paper computes the second group cohomology of complex deformations of the circle, identifies extending cocycles including a relative one with rotation number and conformal radius, and proves Virasoro uniformization for Segal moduli spaces.