Algebraic methods in random matrices and enumerative geometry

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dc.creatorEynard, Bertrand
dc.creatorOrantin, Nicolas
dc.date2008-11-21
dc.date.accessioned2026-07-07T10:20:27Z
dc.date.available2026-07-07T10:20:27Z
dc.descriptionWe review the method of symplectic invariants recently introduced to solve matrix models loop equations, and further extended beyond the context of matrix models. For any given spectral curve, one defined a sequence of differential forms, and a sequence of complex numbers Fg . We recall the definition of the invariants Fg, and we explain their main properties, in particular symplectic invariance, integrability, modularity,... Then, we give several example of applications, in particular matrix models, enumeration of discrete surfaces (maps), algebraic geometry and topological strings, non-intersecting brownian motions,...
dc.descriptionreview article, Latex, 139 pages, many figures
dc.identifierhttps://arxiv.org/abs/0811.3531
dc.identifierhttp://arxiv.org/abs/0811.3531
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174855
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleAlgebraic methods in random matrices and enumerative geometry
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