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Paper detail

A cup-cap duality in Koszul calculus

We introduce a cup-cap duality in the Koszul calculus of N-homogeneous algebras. As an application, we prove that the graded symmetry of the Koszul cap product is a consequence of the graded commutativity of the Koszul cup product. We propose a conceptual approach that may lead to a proof of the graded commutativity, based on derived categories in the framework of DG algebras and DG bimodules. Various enriched structures are developed in a weaker situation corresponding to N>2.

preprint2022arXivOpen access
Roland BergerAndrea Solotar
math.RTmath.RA
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Roland BergerAndrea Solotar

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