Yuming Liu

collaborators

2 papers

math.KT2026

$A_{\infty}$ -structures on the additive decomposition of the Tate-Hochschild cohomology of a finite group algebra

Xiuli Bian, Longfei Li, Yuming Liu +3

Firstly, for a finite group algebra, we provide a computational framework $m_{n}$ for the Tate-Hochschild cochain complex in terms of the additive decomposition, by decompo…

math.KT2025

Algebraic Morse theory via Homological Perturbation Lemma

Jun Chen, Yuming Liu, Guodong Zhou

As a generalization of the classical killing-contractible-complexes lemma, we present algebraic Morse theory via homological perturbation lemma, in a form more general than existin…

A∞​-structures on the additive decomposition of the Tate-Hochschild cohomology of a finite group algebra

Algebraic Morse theory via Homological Perturbation Lemma

$A_{\infty}$ -structures on the additive decomposition of the Tate-Hochschild cohomology of a finite group algebra