On rational homotopy of four-manifolds

Details On rational homotopy of four-manifolds On rational homotopy of four-manifolds

2003-09-04

arxiv.org/abs/math/0309076v1

Mathematics

Algebraic Topology

13 pages, to appear in the Proc. of the Work. Contemporary Geometry and Related Topics (Belgrade, 2002)

Scientific paper

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.

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