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Results tagged with gt.geometric-topology
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user 13827
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).
5
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0
answers
1k
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poincare hopf theorem and the index of a vector field
In Milnor's book, Topology from the Differentiable Viewpoint, the definition of the index of a smooth vector field with isolated zeros on a manifold does not seem to require that the manifold is orien …
- 439
2
votes
1
answer
458
views
important vector bundles
I was wondering if any vector bundles on a manifold other than the tangent bundle give topological invariants. I guess stiefel Whitney classes also come from the inverse bundle - but other than that.
- 35.9k