Marco Armenta

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math.RT2026

Protected corners and a trichotomy for Han's conjecture

Marco Armenta

Han's conjecture predicts that a finite-dimensional algebra with eventually vanishing Hochschild homology has finite global dimension. In the tau-Hochschild framework of Cibils, La…

math.RT2026

$I ¨ $ -Hochschild (co)homology, the square of the Serre bimodule, and the Coxeter automorphism of the Tamarkin--Tsygan calculus

Marco Armenta

We relate two recent enrichments of the Hochschild theory of a finite-dimensional algebra $\Lm$: the $I ¨ $ -Hochschild (co)homology of Cibils, Lanzilotta, Marcos and Solotar, built f…

math.RT2026

The Coxeter transformation as an automorphism of the Tamarkin--Tsygan calculus

Marco Armenta

Let $A$ be a finite-dimensional algebra over a field $\kk$. We show that the Auslander--Reiten bimodule $\ar_A:=\D A[-1]$ is central in the derived Picard group of $A$ and that, wh…

Protected corners and a trichotomy for Han's conjecture

I¨-Hochschild (co)homology, the square of the Serre bimodule, and the Coxeter automorphism of the Tamarkin--Tsygan calculus

The Coxeter transformation as an automorphism of the Tamarkin--Tsygan calculus

$I ¨ $ -Hochschild (co)homology, the square of the Serre bimodule, and the Coxeter automorphism of the Tamarkin--Tsygan calculus