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arXiv · 1409.1895

Poincar\'e duality isomorphisms in tensor categories

Marc Masdeu·Marco A. Seveso
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Abstract

If for a vector space V of dimension g over a characteristic zero field we denote by $\wedge^iV$ its alternating powers, and by $V^\vee$ its linear dual, then there are natural Poincar\'e isomorphisms: $\wedge^i V^\vee \cong \wedge^{g-i} V$. We describe an analogous result for objects in rigid pseudo-abelian $\mathbb{Q}$-linear ACU tensor categories.

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Marc Masdeu, Marco A. Seveso. 2014-09-05. Poincar\'e duality isomorphisms in tensor categories. https://arxiv.org/abs/1409.1895

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