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PreprintCC BY 4.0arXiv

A quiver presentation of the type D arc algebras and intrinsic formality of 𝔻4

  • Eliot Grimont
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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 𝔻4, and show that 𝔻4 is intrinsically formal, that is, it admits no non-trivial A∞-deformations.

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Cite

BibTeXRIS
BibTeX
@misc{grimont2026quiver,
  title = {{A quiver presentation of the type D arc algebras and intrinsic formality of $\mathbbD_4$}},
  author = {Eliot Grimont},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.05259},
  eprint = {2610.05259},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.05259},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A quiver presentation of the type D arc algebras and intrinsic formality of 𝔻_4
AU  - Eliot Grimont
PY  - 2026
DA  - 2026/10/04
PB  - arXiv
DO  - 10.48550/arxiv.2610.05259
UR  - https://arxiv.org/abs/2610.05259
AB  - 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 𝔻_4, and show that 𝔻_4 is intrinsically formal, that is, it admits no non-trivial A_∞-deformations.
ER  -