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Results tagged with gt.geometric-topology
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user 424
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).
11
votes
2
answers
927
views
Embeddings without nonvanishing normal vector fields
For which values of $n$ does there exist an embedding of a smooth compact manifold $M\hookrightarrow R^n$ into $n$-dimensional Euclidean space such that the normal bundle to $M$ has no nonvanishing s …
- 2,927
13
votes
Accepted
Why (and whether) is any smooth embedded torus in R^4 isotopic to an embedded Lagrangian torus?
Whoever told you that any embedded torus in R4 is isotopic to a Lagrangian torus was sorely mistaken. Luttinger (JDG 1995) observed the following: The manifolds obtained by doing certain Dehn-type su …
- 2,927
4
votes
Accepted
Legendrian homotopy of curves in a contact structure?
In general, the (parametric) h-principle for Legendrian immersions implies that Legendrian immersions f:L->(M,\xi) are classified up to homotopy (through Legendrian immersions) by the following bundle …
- 2,927