Polynomial Structures in Generalized Geometry

Marco Aldi; Daniele Grandini

doi:10.1016/j.difgeo.2022.101925

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arXiv · 2106.02798

Polynomial Structures in Generalized Geometry

Marco Aldi·Daniele Grandini

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Abstract

On the generalized tangent bundle of a smooth manifold, we study skew-symmetric endomorphism satisfying an arbitrary polynomial equation with real constant coefficients. We study the compatibility of these structures with the de Rham operator and the Courant-Dorfman bracket. In particular we isolate several conditions that when restricted to the motivating example of generalized almost complex structure are equivalent to the notion of integrability.

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Marco Aldi, Daniele Grandini. 2021-06-05. Polynomial Structures in Generalized Geometry. https://doi.org/10.1016/j.difgeo.2022.101925

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