Invariants of real vector bundles
Algebraic Topology
2023-12-12 v2 Differential Geometry
K-Theory and Homology
Abstract
For a compact smooth manifold with corners (or finite CW-complex) , we can prescribe a finite set of spin or spin manifolds (possibly with boundary) mapping into it so that every real vector bundle over is determined, up to stable equivalence, by the Dirac indices of the real vector bundle when pulled-back onto those prescribed spin or spin manifolds.
Cite
@article{arxiv.2310.05061,
title = {Invariants of real vector bundles},
author = {Jiahao Hu},
journal= {arXiv preprint arXiv:2310.05061},
year = {2023}
}
Comments
83 pages, 4 figures, 3 tables. Version 2 improved exposition, added new figures and a new appendix