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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).
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
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
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