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math.SG2012
Proof of the index conjecture in Hofer geometry
Yasha Savelyev
Let be a non-degenerate Ustilovsky geodesic in generated by . We give a simple proof of a generalization of the conjecture stated in \cite{virtmorse}, relating…
math.AT2012
Floer-Fukaya theory and topological elliptic objects
Yasha Savelyev
Inspired by Segal-Stolz-Teichner project for geometric construction of elliptic (tmf) cohomology, and ideas of Floer theory and of Hopkins-Lurie on extended TFT's, we geometrically…