4 papers
Linearisation, splitting property and homotopy algebras
Seokbong Seol, Kai Wang
In this paper, we study the formal linearisation problem for vector fields in the framework of graded coalgebras. We prove that a formal vector field is linearisable if and only if…
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…
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 BrzeziÅski from the perspective of operad theory. The minimal model of the Rota-Baxter system operad is constructed, eq…
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…