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arXiv · 1604.03300

Curved Rota-Baxter systems

Tomasz Brzeziński
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Abstract

Rota-Baxter systems are modified by the inclusion of a curvature term. It is shown that, subject to specific properties of the curvature form, curved Rota-Baxter systems $(A,R,S,ω)$ induce associative and (left) pre-Lie products on the algebra $A$. It is also shown that if both Rota-Baxter operators coincide with each other and the curvature is $A$-bilinear, then the (modified by $R$) Hochschild cohomology ring over $A$ is a curved differential graded algebra.

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Tomasz Brzeziński. 2016-04-12. Curved Rota-Baxter systems. https://arxiv.org/abs/1604.03300

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