On Rigidity of ALE vector bundles
Differential Geometry
2023-05-09 v1 Algebraic Topology
General Topology
Abstract
We discuss topological rigidity of vector bundles with asymptotically conical (AC) total spaces of rank greater than 1 with a sufficiently connected link; our focus will mainly be on ALE (asymptotically locally Euclidean) bundles. Within the smooth category, we topologically classify all ALE tangent bundles by showing only 2-sphere, projective plane and open contractible manifolds admit ALE tangent bundles. We also discuss other interesting topological and geometric rigidities of ALE vector bundles.
Cite
@article{arxiv.2305.04283,
title = {On Rigidity of ALE vector bundles},
author = {Fatemeh Asadi and Zohreh Fathi and Sajjad Lakzian},
journal= {arXiv preprint arXiv:2305.04283},
year = {2023}
}
Comments
14 pages, no figures