Dolbeault cohomology of a loop space

Details Dolbeault cohomology of a loop space Dolbeault cohomology of a loop space

2004-03-24

arxiv.org/abs/math/0403405v1

Mathematics

Complex Variables

26 pages

Scientific paper

The loop space LP_1 of the Riemann sphere is an infinite dimensional complex
manifold consisting of maps (loops) from S^1 to P_1 in some fixed C^k or
Sobolev W^{k,p} space. In this paper we compute the Dolbeault cohomology groups
H^{0,1}(LP_1).

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