Cycles, submanifolds, and structures on normal bundles
arXiv:math/0011178 · doi:10.1007/s002290200279
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.
Several changes including an improvement of Theorem 1, our new examples have torsion-free homology