Work

A quiver presentation of the type D arc algebras and intrinsic formality of $\mathbb{D}_4$

Year: 2026

Type: preprint

Abstract: We construct a presentation of the Khovanov arc algebras of type $D$ by a quiver with quadratic relations. As an application, we use this presentation and the Koszul dual to compute some Hochschild cohomology groups of $\mathbb{D}_4$, and show that $\mathbb{D}_4$ is intrinsically formal, that is, it admits no non-trivial $A_\infty$-deformations.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.05259

Author: Grimont, Eliot

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7220666908

Cites: 8

Cited by:

Related to: 10