On the nonvanishing of abstract Cauchy-Riemann cohomology groups

TL;DR

This paper proves that certain local and global cohomology groups on abstract Cauchy-Riemann manifolds are infinite dimensional, advancing understanding of their structure.

Contribution

It establishes the infinite dimensionality of specific cohomology groups on abstract Cauchy-Riemann manifolds, a novel result in complex geometry.

Findings

Cohomology groups are infinite dimensional

Results apply to both local and global groups

Advances understanding of abstract Cauchy-Riemann manifolds

Abstract

In this paper, we prove the infinite dimensionality of some local and global cohomology groups on abstract Cauchy-Riemann manifolds.