Poincaré duality for Hopf algebroids

• Sophie Chemla ^[1]
  1. [1] Sorbonne Université, Université de Paris, CNRS, Institut de Mathématiques de Jussieu-Paris, France
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 67, Nº. 1, 2024, págs. 123-136
• Idioma: inglés
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• Resumen

  • We prove a twisted Poincaré duality for (full) Hopf algebroids with bijective antipode. As an application, we recover the Hochschild twisted Poincaré duality of van den Bergh. We also get a Poisson twisted Poincaré duality, which was already stated for oriented Poisson manifolds by Chen et al.