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Self-coincidences in Higher Codimensions by Koschorke, Ulrich is a scholarly article available to read on EtoBox.

What is Self-coincidences in Higher Codimensions about?

When can a map between manifolds be deformed away from itself? We describe a (normal bordism) obstruction which is often computable and in general much stronger than the classical primary obstruction in cohomology. In particular, it answers our question completely in a large dimension range. As an illustration we give explicit criteria in three sample settings: projections from Stiefel manifolds to Grassmannians, sphere bundle projections and maps defined on spheres. In the first example a theorem of Becker and Schultz concerning the framed bordism class of a compact Lie group plays a central role; our approach yields also a very short geometric proof (included as an appendix) of this result.

Author

Koschorke, Ulrich

Published

2006

Language

EN