Rational analogs of projective planes

Details Rational analogs of projective planes Rational analogs of projective planes

2010-10-15

arxiv.org/abs/1010.3274v1

Mathematics

Geometric Topology

Scientific paper

In this paper, we study the existence of high dimensional closed smooth manifolds whose rational homotopy type resembles that of a projective plane. Applying rational surgery, the problem can be reduced to finding possible Pontryagin numbers satisfying the Hirzebruch signature formula and a set of congruence relations, which turns out to be equivalent to finding solutions to a system of Diophantine equations.

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