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Results tagged with dg.differential-geometry
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user 439
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
16
votes
Accepted
Is the cotangent bundle to a Kahler manifold hyperkahler?
Such hyper Kaehler metrics do exist near the zero section, e.g. in a formal or an analytic tubular neighborhood of the zero section. After that one can use some homogeneity to spread them on the whol …
- 6,239
12
votes
Accepted
Non-Kahler manifolds and the dd^c-lemma
Here is an example of a Moishezon manifold which is easy to visualize. Take a high degree (e.g. a quintic) hypersurface $Z$ in $\mathbb{P}^{4}$ which has a single ordinary double point. Let $X$ be a s …
- 6,239
7
votes
Accepted
Is this Sequences of Complexes of Sheaves Exact?
This is not related to sheafification. The sheaf $\mathbb{C}^{*}$ of locally constant functions on $M$ is already a sheaf, so sheafification will not change it.
This sequence is not an exact sequ …
- 6,239
5
votes
Pushing Complex Structure Forward
This seems to be a question about holomorphicity of diffeomorphisms in a given complex structure. Replace your covering map $E \to B$ by its Galois closure (= frame bundle) $X \to B$. Now by construct …
- 6,239
2
votes
A question on the topological change of dualizing a SLAG fibration.
I am not completely sure what is meant by this statement since the topology of the torus fibration certainly changes if the fibration doesn't have a section. If on the other hand we follow your prescr …
- 6,239