Residues in Non-Abelian Localization
Jaap Kalkman
TL;DR
This paper derives a new expression for residues in the non-Abelian localization formula, aiding cohomology calculations for symplectic quotients, and enhances understanding of geometric structures in symplectic geometry.
Contribution
It provides a novel explicit formula for residues in the non-Abelian localization context, facilitating cohomology computations in symplectic geometry.
Findings
Derived an explicit residue expression for non-Abelian localization
Improved methods for cohomology calculations in symplectic quotients
Enhanced understanding of Jeffrey-Kirwan localization formula
Abstract
In this paper we obtain an expression for the residue as it occurs in the non-Abelian localization formula due to Jeffrey and Kirwan. This expression can be used in cohomology computations for symplectic quotients.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology