Cohomology ring of crepant resolutions of orbifolds
Yongbin Ruan
TL;DR
This paper proposes two conjectures about the cohomology ring structure of crepant resolutions of orbifolds and related invariants of K-equivalent manifolds, motivated by physics insights.
Contribution
It introduces new conjectures linking orbifold resolutions and K-equivalent manifolds' cohomological properties.
Findings
Proposes conjectures on cohomology rings of crepant resolutions
Links cohomological invariants to physics-motivated theories
Provides a framework for future mathematical and physical research
Abstract
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Advanced Algebra and Geometry