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Cohomology ring of crepant resolutions of orbifolds

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arxiv math/0108195 v2 pith:U2IDHC2H submitted 2001-08-29 math.AG hep-thmath.SG

Yongbin Ruan This is my paper · ORCID
classification math.AGhep-thmath.SG
keywords cohomologycrepantorbifoldsresolutionsringcohomologicalconjecturesinvariants
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Motivated by physics, we propose two conjectures regarding the cohomology ring of the crepant resolutions of orbifolds and cohomological invariants of K-equivalent manifolds.

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  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.

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