Mathematical results inspired by physics

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dc.creatorLiu, Kefeng
dc.date2003-04-28
dc.date.accessioned2026-07-07T04:57:32Z
dc.date.available2026-07-07T04:57:32Z
dc.descriptionI will discuss results of three different types in geometry and topology. (1) General vanishing and rigidity theorems of elliptic genera proved by using modular forms, Kac-Moody algebras and vertex operator algebras. (2) The computations of intersection numbers of the moduli spaces of flat connections on a Riemann surface by using heat kernels. (3) The mirror principle about counting curves in Calabi-Yau and general projective manifolds by using hypergeometric series.
dc.identifierhttps://arxiv.org/abs/math/0304460
dc.identifierhttp://arxiv.org/abs/math/0304460
dc.identifierProceedings of the ICM, Beijing 2002, vol. 3, 457--466
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67292
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.subject53D30, 57R91, 81T13, 81T30
dc.titleMathematical results inspired by physics
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