Affine pavings and the enhanced nilpotent cone
Carl Mautner

TL;DR
This paper constructs affine pavings of Springer-type fibers over the enhanced nilpotent cone, resolving a key question and establishing the existence of perverse parity sheaves, advancing geometric representation theory.
Contribution
It introduces affine pavings for Springer-type fibers over the enhanced nilpotent cone, answering a question of Achar-Henderson and enabling the study of perverse parity sheaves.
Findings
Affine pavings of Springer-type fibers are constructed.
Resolution of a question by Achar-Henderson.
Existence of perverse parity sheaves on the enhanced nilpotent cone.
Abstract
We construct affine pavings of Springer-type fibers over the enhanced nilpotent cone. This resolves a question of Achar-Henderson and implies the existence of perverse parity sheaves on the enhanced nilpotent cone.
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