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Apr 18, 2016 at 22:37 comment added PVAL @VítTuček Thanks for the helpful comment. There's a theorem of Eliashberg that the map CR-str. to contact str. is a homotopy equivalence but I don't know what kind of setting that is exactly in. If this is in the right setting, I guess I need to see if these deformations can be lifted to deformations of the complex structure in the neighborhood.
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Apr 13, 2016 at 7:44 comment added Vít Tuček I'm out of my depth here, but isn't the answer given by the solution to the CR equivalence problem? See e.g. projecteuclid.org/download/pdf_1/euclid.bams/1183548684
S Apr 7, 2016 at 23:06 history bounty started PVAL
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Apr 4, 2016 at 20:32 history asked PVAL CC BY-SA 3.0