Calabi-Yau mirror symmetry: from categories to curve-counts

Calabi-Yau mirror symmetry: from categories to curve-counts - Tim Perutz

Tim Perutz
University of Texas at Austin
November 15, 2013
I will report on joint work with Nick Sheridan concerning structural aspects of mirror symmetry for Calabi-Yau manifolds. We show (i) that Kontsevich's homological mirror symmetry (HMS) conjecture is a consequence of a fragment of the same conjecture which we expect to be much more amenable to proof; and, in ongoing work, (ii) that from HMS one can deduce (some of) the expected equalities between genus-zero Gromov-Witten invariants of a CY manifold and the Yukawa couplings of its mirror.
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