A theory of twisted umkehr maps
Algebraic Topology
2026-03-30 v2
Abstract
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.
Cite
@article{arxiv.2603.23776,
title = {A theory of twisted umkehr maps},
author = {Anssi Lahtinen},
journal= {arXiv preprint arXiv:2603.23776},
year = {2026}
}
Comments
90 pages. v2: Update reference, fix typo