Geometry and topology monographs · 2015 · 16 citations · 68 references
Natural SciencesMathematicsCombinatoricsGeometryTopologyCategory TheoryEuclidean GeometryGeometric TopologyGroup TheoryLow-dimensional GeometryLow-dimensional TopologyMapping Class GroupsMapping SpacesMonoid TheoryMonoids
In this article we survey, and make a few new observations about, the surprising connection between sub-monoids of the mapping class groups and interesting geometry and topology in low-dimensions.
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Pseudo holomorphic curves in symplectic manifolds
M. Gromov · Inventiones mathematicae · 1985 · 2.1K citations
Natural Sciences, Anatomy, Geodesy +10
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Khovanov homology and the slice genus
Jacob Rasmussen · Inventiones mathematicae · 2010 · 512 citations
A Lemma on Systems of Knotted Curves
James Alexander · Proceedings of the National Academy of Sciences · 1923 · 500 citations · Full text
Knot Floer homology and the four-ball genus
Peter Ozsváth, Zoltán Szabó · Geometry & Topology · 2003 · 491 citations · Full text