A new spectral-DGLA method preserves L-infinity structure through cohomology and re-proves formality for gentle algebras.
Explicit Hochschild Cocycles for Gentle Algebras
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Hochschild cohomology is crucial for understanding deformation theory. In arXiv:2304.10223, we have computed the Hochschild cohomology for gentle algebras of punctured surfaces. The construction of that paper is rather implicit and fails if the punctured surface has only a single puncture. In the present note, we supplement the earlier method by providing an explicit construction of Hochschild cocycles which also succeeds in the case of a single puncture.
citation-role summary
background 1
citation-polarity summary
fields
math.AT 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
$ L_\infty $-spectral sequences for Hochschild cohomology
A new spectral-DGLA method preserves L-infinity structure through cohomology and re-proves formality for gentle algebras.