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Lectures on the Strominger system

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arxiv 1609.02615 v2 pith:XKINNJ4M submitted 2016-09-08 math.DG hep-thmath-phmath.AGmath.MP

Mario Garcia-Fernandez This is my paper · ORCID
classification math.DGhep-thmath-phmath.AGmath.MP
keywords stromingersystemequationsgeometrylecturesbalancedclasscohomological
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These notes give an introduction to the Strominger system of partial differential equations, and are based on lectures given in September 2015 at the GEOQUANT School, held at the Institute of Mathematical Sciences (ICMAT) in Madrid. We describe the links with the theory of balanced metrics in hermitian geometry, the Hermite-Yang-Mills equations, and its origins in physics, that we illustrate with many examples. We also cover some recent developments in the moduli problem and the interrelation of the Strominger system with generalized geometry, via the cohomological notion of string class.

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