Cycles, submanifolds, and structures on normal bundles
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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
Several changes including an improvement of Theorem 1, our new examples have torsion-free homology