Open manifolds, Ozsvath-Szabo invariants and Exotic R^4's

Details Open manifolds, Ozsvath-Szabo invariants and Exotic R^4's Open manifolds, Ozsvath-Szabo invariants and Exotic R^4's

2004-08-27

arxiv.org/abs/math/0408379v2

Mathematics

Geometric Topology

9 pages, major revisions; to appear in Expositiones Mathematicae

Scientific paper

We construct an invariant of open four-manifolds using the Heegaard Floer
theory of Ozsvath and Szabo. We show that there is a manifold X homeomorphic to
R^4 for which the invariant is non-trivial, showing that X is an exotic R^4.

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