Deformed super brackets on forms of a manifold

2021/12/11 by Kentaro Mikami, Mikami, Kentaro, Tadayoshi Mizutani +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2112.05896

Abstract

Given a manifold, we have a super bracket on the graded algebra of differential forms by A,B = (-1)^a d(A \wedge B). We study when A,B_t = (-1)^a d(A \wedge B) + F(a,b) A \wedge t ϕ\wedge B becomes super bracket for a 1-form ϕ. And we show a concrete small example where the situation of parameter t is not identical.

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