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Results tagged with differential-topology
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user 424
The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topology or “analysis situs”.
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
22
votes
Accepted
Operations via Morse Theory
Massey products are discussed in Section 1.3 of
Fukaya, Kenji. Morse homotopy,
$A_{\infty}$-category, and Floer
homologies. Proceedings of GARC
Workshop on Geometry and Topology '93
(Seou …
- 2,927
7
votes
Accepted
Minimal genus, adjunction inequality
Regarding Question 2, Corollary 2 of this paper by Li shows that any symplectic four-manifold which contains a smoothly embedded homologically essential sphere with nonnegative intersection is obtaine …
- 2,927