Donaldson-Thomas Theory and Resolutions of Toric Transverse A-Singularities
Dustin Ross
TL;DR
This paper proves the crepant resolution conjecture for Donaldson-Thomas invariants in the context of toric Calabi-Yau 3-orbifolds with transverse A-singularities, advancing understanding of their enumerative geometry.
Contribution
It establishes the crepant resolution conjecture specifically for Donaldson-Thomas invariants of a class of toric Calabi-Yau 3-orbifolds with transverse A-singularities, a novel result in the field.
Findings
Proved the crepant resolution conjecture for these orbifolds.
Connected Donaldson-Thomas invariants of singular and resolved spaces.
Enhanced understanding of enumerative invariants in toric Calabi-Yau geometries.
Abstract
We prove the crepant resolution conjecture for Donaldson-Thomas invariants of toric Calabi-Yau 3-orbifolds with transverse A-singularities.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds