Generalized Weinstein tubular neighbourhood & Space of Lagrangian submersions

TL;DR

This paper extends Weinstein's tubular neighborhood theorem to Lagrangian subbundles in symplectic fibrations and explores the structure of the space of Lagrangian fibrations in symplectic manifolds.

Contribution

It generalizes Weinstein's theorem for Lagrangian subbundles and analyzes the topology of the space of Lagrangian fibrations.

Findings

Generalized Weinstein tubular neighborhood theorem for Lagrangian subbundles

Insights into the structure of the space of Lagrangian fibrations

Potential applications to symplectic topology and geometry

Abstract

We present a generalized Weinstein Tubular Neighbourhood theorem for Lagrangian subbundles of Symplectic fibrations. This is then used to study the space of Lagrangian fibrations of symplectic manifolds.