Dolbeault cohomology of a loop space
Laszlo Lempert, Ning Zhang
Abstract
The loop space LP1 of the Riemann sphere is an infinite dimensional complex manifold consisting of maps (loops) from S1 to P1 in some fixed Ck or Sobolev Wk,p space. In this paper we compute the Dolbeault cohomology groups H0,1(LP1).
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