An invariant of smooth 4-manifolds.
Taylor, Laurence R. (1997)
Geometry & Topology
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Taylor, Laurence R. (1997)
Geometry & Topology
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Freedman, Michael H., Kitaev, Alexei, Nayak, Chetan, Slingerland, Johannes K., Walker, Kevin, Wang, Zhenghan (2005)
Geometry & Topology
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Chang, Stanley, Weinberger, Shmuel (2003)
Geometry & Topology
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Kreck, Matthias (1999)
Annals of Mathematics. Second Series
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Fintushel, Ronald, Stern, Ronald J. (1998)
Documenta Mathematica
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Randall, Duane (2002)
Algebraic & Geometric Topology
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Alberto Tognoli (2003)
Bollettino dell'Unione Matematica Italiana
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We study the problem of approximating, up to homotopy, compact topological manifolds by real algebraic varieties. As a consequence, we realize any integral non-degenerate quadratic form as the intersection form of a real algebraic variety. This is related to a well-known result, due to Freedman [F], on the topology of closed simply-connected topological -manifolds.
Kühnel, Wolfgang (2004)
Documenta Mathematica
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Hansjörg Geiges, Charles B. Thomas (1998)
Annales de l'institut Fourier
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We prove a structure theorem for closed, orientable 5-manifolds with fundamental group and second Stiefel-Whitney class equal to zero on . This structure theorem is then used to construct contact structures on such manifolds by applying contact surgery to fake projective spaces and certain -quotients of .