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This tag is used if a reference is needed in a paper or textbook on a specific result.

11 votes
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Characteristic classes of non-linear sphere bundles

For many values of $n$, the answer to both questions is no. Since the fundamental groups of $BX$ and $B\mathrm{Diff}(S^n)$ are finite for $n\ge5$ (This uses that $\pi_0\mathrm{Diff}_\partial(D^n)$ is …
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13 votes
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On the state of the art on closed $(n-1)$-connected $2n$ manifolds

The classification problem of smooth oriented closed $(n-1)$-connected $2n$-manifolds for $n\ge3$ splits into three parts. Classify smooth almost closed compact oriented $(n-1)$-connected $2n$-manifo …
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8 votes
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Reference Request: Grouplike Algebras over the little $n$-cubes operad are $n$-fold loop spaces

In Geometry of the iterated loop space, Peter May proved his famous recognition theorem, which is, in a simple form, stated on page 3 as the following. There exist $\Sigma$-free operads $\mathcal{ …
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