Cycles, submanifolds, and structures on normal bundles

2000/11/30 by Christian Bohr, C. Bohr, Bernhard Hanke +2
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #hep-th #math.AT #math.GT #msc:57R95 #msc:81T30

paper · pdf · doi:10.1007/s002290200279

published as Manuscripta Math. 108 (2002), 483--494. · Several changes including an improvement of Theorem 1, our new examples have torsion-free homology

arxiv created 2001/06/27 · openalex publication_date 2002/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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