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Results tagged with gt.geometric-topology
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user 6871
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).
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
6
votes
book on calabi yau manifolds
I would also add the following book:
Dominic Joyce, Compact Manifolds with Special Holonomy
The early parts of the book include an introduction to the Riemannian geometry of Calabi-Yau manifolds. It …
- 3,540