The contact structure on the link of a cusp singularity

TL;DR

This paper demonstrates that the contact structure on the link of a cusp singularity is equivalent to a Sol-manifold with a specific positive contact structure derived from Anosov flow, linking singularity theory with dynamical systems.

Contribution

It establishes a contactomorphism between cusp singularity links and Sol-manifolds with Anosov flow-based contact structures, revealing a new geometric connection.

Findings

Contact structure on cusp singularity link is contactomorphic to Sol-manifold

Positive contact structure arises from Anosov flow

Bridges singularity theory and dynamical systems

Abstract

We show that the contact structure on the link of a cusp singularity is contactomorphic to a Sol-manifold with the positive contact structure arising from the Anosov flow.