An obstruction to smooth isotopy in dimension 4

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Techniques of gauge theory are used to define and compute an invariant of certain diffeomorphisms of 4-manifolds. The invariant vanishes for any diffeomorphism which is smoothly isotopic to the identity. As an application, we give the first example of a diffeomorphism of a simply-connected 4-manifold which is homotopic to the identity map, but not smoothly isotopic to the identity.
Minor revisions (typos and one formula). AMS-LaTeX. 17 pages, 2 postscript figures. To appear in Mathematical Research Letters

Keywords

Geometric Topology, Differential Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/77137

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807041
 http://arxiv.org/abs/math/9807041

Collections

arXiv