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math.RA2023
Maurer-Cartan characterization, -algebras, and cohomology of relative Rota-Baxter operators on Lie-Yamaguti algebras
Jia Zhao, Yu Qiao
In this paper, we first construct a differential graded Lie algebra that controls deformations of a Lie-Yamaguti algebra. Furthermore, a relative Rota-Baxter operator on a Lie-Yama…
math.KT2023
Deformation and -theoretic Index Formulae on Boundary Groupoids
Yu Qiao, Bing Kwan So
Boundary groupoids were introduced by the second author, which can be used to model many analysis problems on singular spaces. In order to investigate index theory on boundary grou…