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arXiv · 1507.03973

Generalized Contact Bundles

Luca Vitagliano·Aïssa Wade
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Abstract

In this Note, we propose a line bundle approach to odd-dimensional analogues of generalized complex structures. This new approach has three main advantages: (1) it encompasses all existing ones; (2) it elucidates the geometric meaning of the integrability condition for generalized contact structures; (3) in light of new results on multiplicative forms and Spencer operators, it allows a simple interpretation of the defining equations of a generalized contact structure in terms of Lie algebroids and Lie groupoids.

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Luca Vitagliano, Aïssa Wade. 2016-03-09. Generalized Contact Bundles. https://doi.org/10.1016/j.crma.2015.12.009

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