Homogeneous quasimorphisms on the symplectic linear group

TL;DR

This paper proves a uniqueness result for homogeneous quasimorphisms on the universal cover of the symplectic linear group, contributing to the understanding of symplectic group structures.

Contribution

It establishes a new uniqueness theorem for homogeneous quasimorphisms on the universal cover of the symplectic linear group.

Findings

Homogeneous quasimorphisms are unique on the universal cover of the symplectic linear group.

The result clarifies the structure of quasimorphisms in symplectic geometry.

The paper provides a foundational understanding relevant to symplectic topology.

Abstract

In this note, we show a uniqueness result of homogeneous quasimorphisms defined on the universal cover of the symplectic linear group.