8 citations · 13 across the 5 of their papers we have counts for
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Range decreasing group homomorphisms and holomorphic maps between generalized loop spaces
Ning Zhang
Let resp. be a positive dimensional Lie group resp. connected complex manifold without boundary and a finite dimensional compact connected manifo…
The Picard group of the loop space of the Riemann sphere
Ning Zhang
The loop space of the Riemann sphere consisting of all or Sobolev maps from the circle to the sphere is an infinite dimensional complex manifold. We compute t…
Dolbeault cohomology of a loop space
Laszlo Lempert, Ning Zhang
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…
Holomorphic line bundles on the loop space of the Riemann sphere
Ning Zhang
The loop space of the Riemann sphere consisting of all or Sobolev maps from the circle to is an infinite dimensional complex ma…