3 papers
math.KT2026
Deformations and homotopy theory of Rota-Baxter Lie algebras
Jun Chen, Kai Wang, Guodong Zhou
For Rota-Baxter Lie algebras, a homotopy cooperad is exhibited, whose cobar construction is shown to be the minimal model of the operad of Rota-Baxter Lie algebras by using algebra…
math.RA2025
A Computation of Tamarkin-Tsygan Calculus
Jun Chen, Xiabing Ruan, Jia Yang
We compute the full Tamarkin-Tsygan calculus of a Koszul algebra whose global dimension exceeds the number of generators. Our results show that even for algebras possessing an econ…
math.KT2024
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…