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Triangulated categories of singularities and D-branes in Landau-Ginzburg models

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arxiv math/0302304 v2 pith:KYAK5I2K submitted 2003-02-25 math.AG math.CT

Dmitri Orlov This is my paper · ORCID
classification math.AGmath.CT
keywords categoriesd-braneslandau-ginzburgmodelssingularitiestriangulatedalgebraicconnection
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In spite of physics terms in the title, this paper is purely mathematical. Its purpose is to introduce triangulated categories related to singularities of algebraic varieties and establish a connection of these categories with D-branes in Landau-Ginzburg models.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-commutative resolutions and pre-quotients of Calabi-Yau double covers

    hep-th 2025-07 conditional novelty 7.0 of 10

    A-periods of non-commutative resolutions of Calabi-Yau double covers satisfy the same GKZ system as those of an explicitly constructed smooth complete intersection.

  2. On holographic duals of certain isolated weighted Gorenstein cDV singularities

    hep-th 2024-12 reject novelty 5.0 of 10

    The paper claims, via mirror symmetry and a quiver search, that none of a listed set of cE6 and cE7 singularities admit crepant resolutions and hence lack N=1 quiver SCFT duals.

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