Abstract
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.
Original language | English (US) |
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Pages (from-to) | 161-187 |
Number of pages | 27 |
Journal | Inventiones Mathematicae |
Volume | 212 |
Issue number | 1 |
DOIs | |
State | Published - Apr 1 2018 |
ASJC Scopus subject areas
- General Mathematics