Tautological Rings of Fibrations
Algebraic Topology
2026-05-06 v2
Abstract
We study the analogue of tautological rings of fibre bundles in the context of fibrations with Poincar\' e fibre, i.e. the ring obtained by fibre integrating powers of the fibrewise Euler class. We discuss how to compute the Euler ring with tools from rational homotopy theory and completely determine the tautological ring for even spheres, complex projective spaces and some products of odd spheres.
Keywords
Cite
@article{arxiv.1905.02676,
title = {Tautological Rings of Fibrations},
author = {Nils Prigge},
journal= {arXiv preprint arXiv:1905.02676},
year = {2026}
}
Comments
Substantially rewritten and improved exposition