 Info
Topology
Saint Louis University has a very active research group in topology,with an emphasis on the topology of 3dimensional manifolds. Areas of specialty include hyperbolic 3manifolds, hyperbolic geometry, knot theory and foliations.
People specializing in this area
Anneke Bart
Geometric Topology, Low dimensional topology, Deformation theory
Bryan Clair
Geometric topology, L^{2} topological invariants.
Qayum Khan
 Geometric topology of manifolds of dimension > 3
 Group actions by homeomorphisms on manifolds
 Computations in algebraic Ktheory and Ltheory
David Letscher
Algorithmic questions in 3manifold topology
Kevin P. Scannell
Hyperbolic 3manifolds, spaces of knots
Michael Tsau
Geometric topology, Knot Theory
Gerrit Smith
Stable Geometric Topology of 4Manifolds
Geometric topology of smooth 4manifolds up to stablization with S^{2}xS^{2}
Consider a separating 3dimensional submanifold of a smooth 4dimensional manifold whose fundamental group is mapped injectively into the fundamental group of the 4manifold. The Seifertâ€“van Kampen theorem implies the fundamental group of the 4manifold has an amalgamated product structure. This work attempts to characterize when the converse holds, allowing for stabilization of the 4manifold by forming the connected sum with S^{2}xS^{2} factors. When such decompositions can be realized geometrically, uniqueness of the decomposition is characterized.


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