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Results tagged with gt.geometric-topology
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user 90512
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
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Non-positive sectional curvature in 3-dimensional manifold
The answer of the following question may be well-known in the field of Geometric Topology, so I ask for help in here.
Does the total space of circle bundle over a closed hyperbolic surface admit a …
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Aspherical manifold and non-positive curvature
If the fundamental group of a smooth closed aspherical manifold is a hyperbolic group, does that manifold admit a metric with non-positive sectional curvature?
If not, what's the obstruction to ad …
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If the total space of circle bundle over hyperbolic manifold admits Riemannain metric of non...
If the total space of circle bundle over higher genus surface admit Riemannian metric of non-positive sectional curvature?
I wish to use the result about the question and find Leeb's work 3-manifol …
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Can we use the "size" of smooth structure set to predict the information geometry or other t...
The "size" can mean the number of elements or the diameter of the set of smooth structures. Y. Shikata defined a distance function on it and proved that it is a distance. He then used it to prove that …
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Have examples of non-simple connected higher-dimensions integer homology sphere?
We known that there exists smooth integer homology n-sphere (n>4) with some non-trivial fundamental group by the Kervaire theorem [Michel A. Kervaire, MR 253347 Smooth homology spheres and their funda …
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