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Self-intersection of Foliated Cycles on Complex Manifolds by Kaufmann, Lucas is a scholarly article available to read on EtoBox.

What is Self-intersection of Foliated Cycles on Complex Manifolds about?

Let X be a compact Kahler manifold and let T be a foliated cycle directed by a transversally Lipschitz lamination on X . We prove that the self-intersection of the cohomology class of T vanishes as long as T does not contain currents of integration along compact manifolds. As a consequence we prove that transversally Lipschitz laminations of low codimension in certain manifolds, e.g. projective spaces, do not carry any foliated cycles except those given by integration along compact leaves.

Author

Kaufmann, Lucas

Published

2016

Language

EN