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Non-commutative Toric Varieties

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arxiv 1308.2774 v2 pith:MWUQXSWY submitted 2013-08-13 math.SG hep-thmath.AG

Ludmil Katzarkov , Ernesto Lupercio , Laurent Meersseman , Alberto Verjovsky This is my paper · ORCID
classification math.SGhep-thmath.AG
keywords non-commutativetoricvarietiesintroducemainspacescallcase
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In this note we introduce a new family of non-commutative spaces that we call non-commutative toric varieties and we describe some of their main properties. The main technical tool in this investigation is a natural extension of LVM-theory for the irrational case. In order to introduce the moduli space of (non-commutative) toric varieties we use variations on the notion of diffeology as models for non-commutative spaces.

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  1. Advancements in Functorial Homological Mirror Symmetry

    hep-th 2025-02 reject novelty 4.0 of 10

    A programmatic review asserting that stability and transversality in Donaldson-Thomas degeneracy formulas correspond to abelian versus nonabelian gauging in Rozansky-Witten theory, without providing a derivation.

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