On rational homotopy of four-manifolds
Algebraic Topology
2007-05-23 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.math/0309076,
title = {On rational homotopy of four-manifolds},
author = {S. Terzic},
journal= {arXiv preprint arXiv:math/0309076},
year = {2007}
}
Comments
13 pages, to appear in the Proc. of the Work. Contemporary Geometry and Related Topics (Belgrade, 2002)