Localization and Conjectures from String Duality

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dc.creatorLiu, Kefeng
dc.date2007-01-23
dc.date.accessioned2026-07-07T07:42:37Z
dc.date.available2026-07-07T07:42:37Z
dc.descriptionWe describe the applications of localization methods, in particular the functorial localization formula, in the proofs of several conjectures from string theory. Functorial localization formula pushes the computations on complicated moduli spaces to simple moduli spaces. It is a key technique in the proof of the general mirror formulas, the proof of the Hori-Vafa formulas for explicit expressions of basic hypergeometric series of homogeneous manifolds, the proof of the Mariño-Vafa formula, its generalizations to two partition analogue. We will also discuss our development of the mathematical theory of topological vertex and simple localization proofs of the ELSV formula and Witten conjecture. This is my lecture on the 23rd International Conference of Differential Geometric Methods in Theoretical Physics Tianjin, 20 - 26 August, 2005.
dc.descriptionLecture on the 23rd International Conference of Differential Geometric Methods in Theoretical Physics Tianjin, 20 - 26 August, 2005
dc.identifierhttps://arxiv.org/abs/math-ph/0701057
dc.identifierhttp://arxiv.org/abs/math-ph/0701057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122508
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleLocalization and Conjectures from String Duality
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