Mathematical Proceedings of the Cambridge Philosophical Society · 2002 · 16 citations · 6 references
Natural SciencesMathematicsGeometryTopologyFundamental GroupGeometric TopologyGroup TheoryKnot TheoryBetti NumbersFundamental Group Of A ManifoldFundamental Group Of A Topological SpaceGeometric Group TheoryGeometric Invariant TheoryGeometric InvariantsIntersectionSurface Topology
In this paper we prove a number of inequalities between the signature and the Betti numbers of a 4-manifold with even intersection form and prescribed fundamental group. Furthermore, we introduce a new geometric group invariant and discuss some of its properties.
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Michael Gromov · Publications mathématiques de l IHÉS · 1982 · 838 citations
Monopole equation and the ${\dsize\frac{11}{8}}$-conjecture
Mikio Furuta · Mathematical Research Letters · 2001 · 151 citations · Full text
Proof of a conjecture of Whitney
William S. Massey · Pacific Journal of Mathematics · 1969 · 98 citations · Full text