Fitting without fittings

TL;DR

This paper proves that all symplectically aspherical fillings of the unit cotangent bundle of an odd-dimensional sphere are diffeomorphic to the standard co-disc bundle, removing the need for the concept of fittings.

Contribution

It establishes a classification result for symplectically aspherical fillings, simplifying previous approaches by eliminating the concept of fittings.

Findings

All such fillings are diffeomorphic to the standard co-disc bundle.

The concept of fittings is unnecessary for this classification.

Provides a complete topological classification of these symplectic fillings.

Abstract

We show that all symplectically aspherical fillings of the unit cotangent bundle of a given odd-dimensional sphere are diffeomorphic to the corresponding unit co-disc bundle. The concept of fittings previously introduced is not needed.