Cycles, submanifolds, and structures on normal bundles
Geometric Topology
2007-05-23 v2 High Energy Physics - Theory
Algebraic Topology
Abstract
We give explicit examples of degree 3 cohomology classes not Poincare dual to submanifolds, and discuss the realisability of homology classes by submanifolds with Spin-C normal bundles.
Keywords
Cite
@article{arxiv.math/0011178,
title = {Cycles, submanifolds, and structures on normal bundles},
author = {C. Bohr and B. Hanke and D. Kotschick},
journal= {arXiv preprint arXiv:math/0011178},
year = {2007}
}
Comments
Several changes including an improvement of Theorem 1, our new examples have torsion-free homology