Article ID Journal Published Year Pages File Type
1893121 Journal of Geometry and Physics 2011 9 Pages PDF
Abstract

We define a new kind of algebroid which fulfills a Leibniz rule, a Jacobi identity twisted by a 3-form HH with values in the kernel of the anchor map, and the twist is closed under a naturally occurring exterior covariant derivative. We give examples and define three kinds of cohomologies, two via realizations as QQ-structures on graded manifolds. The paper classifies PQPQ-manifolds of maximal degree 3.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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