Exotic t-structure for partial resolutions of the nilpotent cone

TL;DR

This paper introduces an exotic t-structure on the derived category of equivariant coherent sheaves for partial resolutions of the nilpotent cone, advancing the understanding of their geometric and categorical properties.

Contribution

It defines and investigates a new exotic t-structure on derived categories associated with partial resolutions of the nilpotent cone, expanding the categorical framework in geometric representation theory.

Findings

Established properties of the exotic t-structure.

Connected the t-structure to representation-theoretic phenomena.

Provided new tools for studying partial resolutions of the nilpotent cone.

Abstract

We define and study an exotic t-structure on the bounded derived category of equivariant coherent sheaves on partial resolutions of the nilpotent cone.