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arXiv · 2508.00727

Baues-Wirsching Cohomology and Svarc Genus in Small Categories

Isaac Carcacía-Campos·Enrique Macías-Virgós·David Mosquera-Lois
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Abstract

We prove that for a bifibration P between small categories, the lenght of the cup product in the kernel of the induced morphism in the Baues-Wirsching cohomology with coefficients in any natural system is a lower bound for the homotopic sectional category (also called Svarc genus). Our results extend classical Svarc type inequalties to the categorical setting and introduce a computationally efficient method via a reduced cochain complex for Baues-Wirching cohomology.

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Isaac Carcacía-Campos, Enrique Macías-Virgós, David Mosquera-Lois. 2025-08-01. Baues-Wirsching Cohomology and Svarc Genus in Small Categories. https://doi.org/10.2298/fil2608113c

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