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Noncommutative geometry, as advocated by Konstevich, proposes to replace the study of (commutative) varieties by the study of their (noncommutative) dg/A-infinity categories of perfect complexes. Conveniently, these techniques can then also be...

Noncommutative geometry, as advocated by Konstevich, proposes to replace the study of (commutative) varieties by the study of their (noncommutative) dg/A-infinity categories of perfect complexes. Conveniently, these techniques can then also be...

I'll explain the main result on my paper with Kentaro 1308.2438 [hep-th], which recovers (and generalizes) Iritani's central charge expression, that can be found, for example, in 0903.1463[math.AG]. For this physics derivation I'll have to introduce...