11 citations · 23 across the 18 of their papers we have counts for
21 papers
Lax functoriality of Hochschild cochain complex
Yang Han, Xukun Wang
Unlike the Hochschild chain complex of an algebra, the Hochschild cochain complex of an algebra is not functorial. Nonetheless, we show that the Hochschild cochain complex of an al…
Entropies of Serre functors for higher hereditary algebras
Yang Han
For a higher hereditary algebra, we calculate its upper (lower) Serre dimension, the entropy and polynomial entropy of Serre functor, and the Hochschild (co)homology entropy of Ser…
Symmetry criteria for Hochschild extensions
Yang Han
We give two sufficient and necessary conditions for a Hochschild extension of a finite dimensional algebra by its dual bimodule and a Hochschild 2-cocycle to be a symmetric algebra…
Hirzebruch-Riemann-Roch and Lefschetz type formulas for finite dimensional algebras
Yang Han
The Hirzebuch-Riemann-Roch (HRR) and Lefschetz type formulas for finite dimensional elementary algebras of finite global dimension are explicitly given. They have cohomological, ho…
Exact Hochschild extensions and deformed Calabi-Yau completions
Yang Han, Xin Liu, Kai Wang
We introduce the Hochschild extensions of dg algebras, which are -algebras. We show that all exact Hochschild extensions are symmetric Hochschild extensions, more precise…
Hochschild (co)homologies of dg -rings and their Koszul duals
Yang Han, Xin Liu, Kai Wang
We formulate the (co)bar construction theory of dg -(co)rings and the calculus theory of the Hochschild homology and cohomology of dg -rings. As applications, we compare the…