Deformations and homotopy theory of Rota-Baxter algebras of any weight
Deformations and homotopy theory of Rota-Baxter algebras of any weight
This paper studies formal deformations and homotopy theory of Rota-Baxter algebras of any weight. We define an $L_\infty$-algebra, which controls simultaneous deformations of associative products and Rota-Baxter operators. As a consequence, we develop a cohomology theory of Rota-Baxter algebras of any weight and justify it by interpreting lower degree cohomology …