Skew-Zigzag Algebras

TL;DR

This paper explores skew-zigzag algebras, establishing connections between their moduli spaces and the cohomology of associated graphs, thereby advancing understanding of their algebraic and topological properties.

Contribution

It relates the moduli spaces of skew-zigzag algebras to graph cohomology, providing new insights into their structure and classification.

Findings

Moduli spaces of skew-zigzag algebras are characterized via graph cohomology.

The paper establishes a correspondence between algebraic structures and topological invariants.

Results deepen the understanding of the interplay between algebra and graph theory.

Abstract

We investigate the skew-zigzag algebras introduced by Huerfano and Khovanov. In particular, we relate moduli spaces of such algebras with the cohomology of the corresponding graph.