Some remarks on mirror symmetry and noncommutative elliptic curves
نویسنده
چکیده
This paper agrees basically with the talk of the author at the workshop “Homological Mirror Symmetry and Applications”, Institute for Advanced Study, Princeton, March 2007.
منابع مشابه
Mirror Symmetry and Elliptic Curves
I review how recent results in quantum eld theory con-rm two general predictions of the mirror symmetry program in the special case of elliptic curves: (1) counting functions of holomorphic curves on a Calabi-Yau space (Gromov-Witten invariants) arèquasi-modular forms' for the mirror family; (2) they can be computed by a summation over trivalent Feynman graphs.
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I review how recent results in quantum field theory confirm two general predictions of the mirror symmetry program in the special case of elliptic curves: (1) counting functions of holomorphic curves on a CalabiYau space (Gromov-Witten invariants) are ‘quasi-modular forms’ for the mirror family; (2) they can be computed by a summation over trivalent Feynman graphs. ∗To be published in The Modul...
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