Quantum corrections to the holomorphic structure of the mirror bundle along the caustic and the bifurcation locus

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dc.creatorMarelli, G.
dc.date2007-03-30
dc.date.accessioned2026-07-07T07:55:07Z
dc.date.available2026-07-07T07:55:07Z
dc.descriptionGiven, in the Lagrangian torus fibration $R^4\to R^2$, 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 $C\cup B$, except cusps, yielding the so called quantum corrections to the mirror object.
dc.description63 pages
dc.identifierhttps://arxiv.org/abs/math/0703920
dc.identifierhttp://arxiv.org/abs/math/0703920
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126859
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.subject14J32, 37G25, 37D15, 53D12, 58E05
dc.titleQuantum corrections to the holomorphic structure of the mirror bundle along the caustic and the bifurcation locus
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