Perverse Microsheaves

TL;DR

This paper constructs a sheaf of stable categories with a t-structure on complex contact and symplectic manifolds, linking microlocalization and perverse t-structures for advanced geometric analysis.

Contribution

It introduces a novel sheaf of stable categories with a t-structure on complex manifolds, connecting microlocalization to perverse t-structures.

Findings

Sheaf of stable categories constructed on complex manifolds.

Locally equivalent to microlocalization of perverse t-structure.

Provides new tools for geometric and symplectic analysis.

Abstract

On a complex contact manifold, or complex symplectic manifold with weight-1 circle action, we construct a sheaf of stable categories carrying a t-structure which is locally equivalent to a microlocalization of the perverse t-structure.