A note on a nontrivial connected component of the space of symplectic structures

TL;DR

This paper presents the first example of a nontrivial connected component in the space of symplectic structures that are standard at infinity in four dimensions, highlighting new topological features of symplectic geometry.

Contribution

It introduces the first known example of a nontrivial connected component in the space of symplectic structures in four dimensions.

Findings

First example of a nontrivial connected component

Symplectic structures standard at infinity in dimension four

New insights into the topology of symplectic structure spaces

Abstract

This note provides the first example of a nontrivial connected component of the space of symplectic structures standard at infinity in dimension four.