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arXiv · 1903.05250

Contact Dual Pairs

Adara Monica Blaga·Maria Amelia Salazar·Alfonso Giuseppe Tortorella·Cornelia Vizman
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Abstract

We introduce and study the notion of contact dual pair adopting a line bundle approach to contact and Jacobi geometry. A contact dual pair is a pair of Jacobi morphisms defined on the same contact manifold and satisfying a certain orthogonality condition. Contact groupoids and contact reduction are the main sources of examples. Among other properties, we prove the Characteristic Leaf Correspondence Theorem for contact dual pairs which parallels the analogous result of Weinstein for symplectic dual pairs.

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Adara Monica Blaga, Maria Amelia Salazar, Alfonso Giuseppe Tortorella, Cornelia Vizman. 2019-09-22. Contact Dual Pairs. https://doi.org/10.1093/imrn%2Frnz186

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