Kirwan surjectivity for quiver varieties
By Kevin McGerty, T. Nevins. 2016
76 citations recorded by the source corpus.
For algebraic varieties defined by hyperkähler or, more generally, algebraic symplectic reduction, it is a long-standing question whether the “hyperkähler Kirwan map” on cohomology is surjective. We resolve this question in the affirmative for Nakajima quiver varieties. We also establish similar results for other cohomology theories and for the derived category. Our proofs use only classical topological and geometric arguments.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9254dc4a1ea24ceb977cba1a66917ea19c4453f7
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
- O. Schiffmann
- E. Vasserot
- H. Nakajima
- Ben Webster
- I. Cherednik
- Andrew Mathas
- D. Hernandez
- Alexander S. Kleshchev
In Mathematical Physics
- O. Schiffmann
- E. Vasserot
- Ben Webster
- I. Cherednik
- Alexander S. Kleshchev
- Zhiwei Yun
- H. Morton
- Peter Samuelson
Citations in the corpus
- On cohomological Hall algebras of quivers: Generators (2017, background): “cation of the local quiver variety. A very similar construction has independently appeared in McGerty and Nevins’ recent proof of Kirwan surjectivity for (non-graded, non-local) quiver varieties, see [24]. The theorem implies that the variety M(v,w)# is connected. Using this connectedness statement ”