Guillermou-Kashiwara-Schapira kernels of geodesic flows

TL;DR

This paper constructs explicit sheaf quantizations of geodesic flows on spheres and complex projective spaces, building on the Guillermou-Kashiwara-Schapira framework for Hamiltonian isotopies.

Contribution

It provides explicit constructions of sheaf quantizations for geodesic flows on specific manifolds, extending prior theoretical results.

Findings

Explicit sheaf quantization of geodesic flows on spheres

Explicit sheaf quantization of geodesic flows on complex projective spaces

Extension of Guillermou-Kashiwara-Schapira theory to new geometric settings

Abstract

Guillermou-Kashiwara-Schapira proved that there exists a unique sheaf quantization of any homogeneous Hamiltonian isotopy on a cotangent bundle. In this paper, we explicitly construct a sheaf quantization of geodesic flows on spheres and complex projective spaces.