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math.RT2025
From homotopy Rota-Baxter algebras to Pre-Calabi-Yau and homotopy double Poisson algebras
Yufei Qin, Kai Wang
In this paper, we investigate pre-Calabi-Yau algebras and homotopy double Poisson algebras arising from homotopy Rota-Baxter structures. We introduce the notion of cyclic homotopy…
math.RA2025
Deformation theory and Koszul duality for Rota-Baxter systems
Yufei Qin, Kai Wang, Guodong Zhou
This paper investigates Rota-Baxter systems in the sense of Brzeziński from the perspective of operad theory. The minimal model of the Rota-Baxter system operad is constructed, equ…
math.GT2025
BPS invariants from framed links
Kai Wang, Shengmao Zhu
In this article, we investigate the BPS invariants associated with framed links. We extend the relationship between the algebraic curve (i.e. dual -polynomial) and the BPS invar…