Cohomology ring of crepant resolutions of orbifolds

By Y. Ruan. 2001

146 citations recorded by the source corpus.

Motivated by physics, we propose two conjectures regarding the cohomology ring of the crepant resolutions of orbifolds and cohomological invariants of K-equivalent manifolds.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e789542451207220c2627370ad3950fcfbe96dce

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In Geometry and Topology

1. L. Fu
2. Zhiyu Tian
3. Yunfeng Jiang
4. Charles Vial
5. H. Iritani

In Mathematical Physics

1. L. Fu
2. Zhiyu Tian
3. Yunfeng Jiang
4. Charles Vial
5. H. Iritani

Citations in the corpus

• Motivic hyper-Kähler resolution conjecture, I : Generalized Kummer varieties (2016, methodology): “In [17], Chen and Ruan construct the orbifold cohomology ring H∗ orb (X) for any complex orbifoldX.”
• The orbifold cohomology ring of simplicial toric stack bundles (2005, background): “ defined in [4]. There exists an automorphism ϕbetweem these two families so that we construct such a family over P1. All the left proof is the same as the one in [4]. We omit the details. Remark Ruan [18] conjectured that the cohomology ring of crepant resolution is isomorphic to the orbifold Chow r”