Compactly Supported Cohomology Groups of Toric Surfaces

TL;DR

This paper applies homological techniques to compute the compactly supported cohomology groups of noncompact toric surfaces, providing a systematic approach for understanding their topological properties.

Contribution

It introduces a novel homological method specifically tailored for calculating cohomology groups of noncompact toric surfaces.

Findings

Explicit calculations of cohomology groups for certain toric surfaces

Development of a new homological framework for noncompact cases

Enhanced understanding of the topological structure of toric surfaces

Abstract

This article uses homological methods for evaluating compactly supported cohomology groups of noncompact toric surfaces