On rational homotopy of four-manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give explicit formulas for the ranks of the third and fourth homotopy groups of all oriented closed simply-connected four manifolds in terms of their second Betti numbers. We also show that the rational homotopy type of these manifolds is classified by their rank and signature.
13 pages, to appear in the Proc. of the Work. Contemporary Geometry and Related Topics (Belgrade, 2002)

Keywords

Algebraic Topology, Differential Geometry, 53C25; 57R57; 58A14; 57R17

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/68471

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309076
 http://arxiv.org/abs/math/0309076

Collections

arXiv