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Apr 16, 2020 at 22:34 comment added AlexArvanitakis For what it is worth, five years later: you seem to be trying to arrive at the transgression map that sends differential $p$-forms on $X$ to $(p-1)$-forms on $LX$, so the Kaehler form on $X$ would go to a 1-form on $LX$, rather than a 2-form. You might be interested in the following string theory reference on Kahler structure on $LX$ and papers referencing that: inspirehep.net/literature/235315
Nov 28, 2015 at 22:59 history edited Carlo Beenakker CC BY-SA 3.0
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Nov 28, 2015 at 17:00 vote accept Meer Ashwinkumar
Nov 29, 2015 at 3:14
Nov 28, 2015 at 16:52 answer added Igor Rivin timeline score: 1
Nov 28, 2015 at 15:36 history asked Meer Ashwinkumar CC BY-SA 3.0