Cycles, submanifolds, and structures on normal bundles

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

References in corpus (3)

• D-Branes And K-Theory
• Lectures on Special Lagrangian Submanifolds
• D-Branes and Spin^c Structures

Cited by in corpus (9)

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• Gysin map and Atiyah-Hirzebruch spectral sequence
• Steenrod problem and the domination relation
• Realizing a homology class of a compact manifold by a homology class of an explicit closed submanifold--a new approach to Thom's works on homology classes of submanifolds-