Timeline for Does Kähler structure on X imply Kähler structure on the loop space of X?
Current License: CC BY-SA 3.0
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Nov 28, 2015 at 23:45 | comment | added | Misha | Igor, your references do not really resolve the question which OP is asking. The issue of integrability of the almost complex structure is a delicate one: For the loop space of a 3-dimensional Riemannian manifold (the case I thought about) the answer is that the almost complex structure is formally integrable but, in general, not integrable, see Lempert's paper. What happens when the target is Kahler I am not sure. | |
Nov 28, 2015 at 18:39 | comment | added | Igor Rivin | @MeerAshwinkumar An even more explict description is in the second reference... | |
Nov 28, 2015 at 18:38 | history | edited | Igor Rivin | CC BY-SA 3.0 |
added reference
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Nov 28, 2015 at 17:01 | comment | added | Meer Ashwinkumar | Could you kindly point out the section I should be looking for, I can't seem to find it. | |
Nov 28, 2015 at 17:00 | vote | accept | Meer Ashwinkumar | ||
Nov 29, 2015 at 3:14 | |||||
Nov 28, 2015 at 16:52 | history | answered | Igor Rivin | CC BY-SA 3.0 |