A note on the Lagrangian cobordism group of Weinstein sectors

TL;DR

This paper demonstrates that the Lagrangian cobordism group of a Weinstein sector is isomorphic to its middle-dimensional singular cohomology, providing a geometric interpretation of Viterbo restriction for cobordism groups.

Contribution

It establishes an isomorphism between the Lagrangian cobordism group and middle-dimensional cohomology for Weinstein sectors, offering new geometric insights.

Findings

Lagrangian cobordism group is isomorphic to middle-dimensional cohomology

Provides a geometric description of Viterbo restriction

Enhances understanding of Weinstein sector invariants

Abstract

The aim of this note is to show that the Lagrangian cobordism group of a Weinstein sector is isomorphic to its middle-dimensional singular cohomology. As an application, a geometric description of Viterbo restriction for cobordism groups is obtained.