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Results tagged with at.algebraic-topology
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user 6871
Homotopy theory, homological algebra, algebraic treatments of manifolds.
4
votes
$S^n \to S^m \to B$ bundle: possible?
The Hopf fibrations give 4 such examples:
1) $S^3$ is an $S^1$ bundle over $\mathbb C \mathbb P^1 \cong S^2$, as you mentioned.
2) $S^7$ is an $S^3$ bundle over $\mathbb H \mathbb P^1 \cong S^4$, th …
- 3,540
5
votes
Is a simply connected Ricci-flat Kaehler manifold a Calabi-Yau manifold?
José is correct, with the caveat that Gunnar mentioned - you need simple-connectedness to know that reduced holonomy = holonomy. Below I expand a bit more on the details. [Thanks to Tim Perutz for cat …
- 3,540