GEOMETRIC TOPOLOGY
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GEOMETRIC TOPOLOGY. MAIN GOAL: TO PROVE TOPOLOGICAL RESULTS ABOUT SMOOTH MANIFOLDS BY ENDOWING THEM WITH ADDITIONAL GEOMETRIC STRUCTURES. GEOMETRIC TOPOLOGY OF LOW DIMENSIONAL MANIFOLDS. SYMPLECTIC FOUR DIMENSIONAL MANIFOLDS CONTACT THREE DIMENSIONAL MANIFOLDS. Property P.
GEOMETRIC TOPOLOGY
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GEOMETRIC TOPOLOGY MAIN GOAL: TO PROVE TOPOLOGICAL RESULTS ABOUT SMOOTH MANIFOLDS BY ENDOWING THEM WITH ADDITIONAL GEOMETRIC STRUCTURES
GEOMETRIC TOPOLOGY OF LOW DIMENSIONAL MANIFOLDS SYMPLECTIC FOUR DIMENSIONAL MANIFOLDS CONTACT THREE DIMENSIONAL MANIFOLDS
Legendrian curve A curve in a contact 3-manifold is called Legendrian if it is everywhere tangent to the contact planes.
Classification of overtwisted contact structures Martinet+Lutz+Eliashberg Overtwisted contact structures are classified: There is, up to isotopy, a unique overtwisted contact structure in every homotopy class of oriented plane fields.
Complement of the Hopf link in the 3-sphere fibers over the circle
