arXiv · math/0309076
On rational homotopy of four-manifolds
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.
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S. Terzic. 2003-09-04. On rational homotopy of four-manifolds. https://arxiv.org/abs/math/0309076
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