Quantum corrections to the holomorphic structure of the mirror bundle along the caustic and the bifurcation locus
نویسنده
چکیده
Given, in the Lagrangian torus fibration R → R, a Lagrangian submanifold L, endowed with a trivial flat connection, the corresponding mirror object is constructed on the dual fibration by means of a family of Morse homologies associated to the generating function of L, and it is provided with a holomorphic structure. Morse homology, however, is not defined along the caustic C of L or along the bifurcation locus B, where the family does not satisfy the Morse-Smale condition. The holomorphic structure is extended to the subset C∪B, except cusps, yielding the so called quantum corrections to the mirror object. 2000 Mathematics Subject Classification: 14J32, 37G25, 37D15, 53D12, 58E05 E-Mail address: [email protected]
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تاریخ انتشار 2007