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Homotopy theory, homological algebra, algebraic treatments of manifolds.

2 votes
Accepted

Homotopy groups of the blow-ups and monotone symplectic manifolds

Write $X$ for the manifold in question (i.e. the symplectic blowup of the unit disc bundle in the cotangent bundle of a surface $\Sigma$). If you're interested just in monotonicity, what's relevant is …
Glorfindel's user avatar
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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 …