A theory of twisted umkehr maps

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1. Verfasser: Lahtinen, Anssi
Format: Preprint
Veröffentlicht: 2026
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author Lahtinen, Anssi
author_facet Lahtinen, Anssi
contents We develop a theory of umkehr maps for twisted generalized homology theories. In this theory, interesting umkehr maps, including generalizations of important classical ones, are induced by cartesian morphisms of a certain category opfibred over the category of spaces and continuous maps, making it possible to access them through universal properties.
format Preprint
id arxiv_https___arxiv_org_abs_2603_23776
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A theory of twisted umkehr maps
Lahtinen, Anssi
Algebraic Topology
55N20 (Primary) 55R70, 55M05 (Secondary)
We develop a theory of umkehr maps for twisted generalized homology theories. In this theory, interesting umkehr maps, including generalizations of important classical ones, are induced by cartesian morphisms of a certain category opfibred over the category of spaces and continuous maps, making it possible to access them through universal properties.
title A theory of twisted umkehr maps
topic Algebraic Topology
55N20 (Primary) 55R70, 55M05 (Secondary)
url https://arxiv.org/abs/2603.23776