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arXiv · 2306.06478

Relative De Rham cohomology in diffeological spaces

Enrique Macías-Virgós·Reihaneh Mehrabi
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Abstract

We define two different versions of the relative De Rham cohomology groups of a diffeological space. Additionally, we study a variant of the Mayer-Vietoris sequence and discuss the existence of a relative cup product. Our approach is categorical, replacing open coverings with generating families and unions and intersections with pull-back and join constructions.

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Enrique Macías-Virgós, Reihaneh Mehrabi. 2023-06-10. Relative De Rham cohomology in diffeological spaces. https://arxiv.org/abs/2306.06478

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