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Results tagged with sg.symplectic-geometry
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user 943
Hamiltonian systems, symplectic flows, classical integrable systems
24
votes
3
answers
1k
views
Hyperbolic Coxeter polytopes and Del-Pezzo surfaces
Added. In the following link there is a proof of the observation made in this question: http://dl.dropbox.com/u/5546138/DelpezzoCoxeter.pdf
I would like to find a reference for a beautiful construc …
- 2,175
10
votes
3
answers
1k
views
Hamiltonian $S^1$ actions with isolated fixed points
I have in mind the following question for some time. Is there an example of a compact symplectic manifold with a Hamiltonian $S^1$-action with isolated fixed points, that does not admit a compatible $ …
- 28.9k
15
votes
3
answers
2k
views
Unstable manifolds of a Morse function give a CW complex
A coauthor of mine and I want to use the following innocent looking statement in a forthcoming paper:
Statement. Let $M^{2n}$ be a compact manifold and let $f$ be a Morse function with critical point …
- 28.9k
26
votes
2
answers
2k
views
Manifolds distinguished by Gromov-Witten invariants?
What is a simplest example of a manifold $M^{2n}$ that admits two symplectic structures with isotopic almost complex structures, and such that Gromov-Witten invariants of these symplectic structures …
- 28.9k
17
votes
1
answer
905
views
Finite fundamental groups of 3-dimensional Calabi-Yau manifolds
Question. Is there an example of a compact $3$-dimensional Calabi-Yau manifold with finite fundamental group $G$ that does not admit a free action on $S^3$?
This question is motivated by the followin …
- 28.9k
8
votes
1
answer
630
views
Are there symplectic 4-folds with $b_+>1$, $b_-=0$?
This is the question. Is it known that a symplectic $4$-fold with $b_2>1$ should have a homology class $C$ with $C^2<0$?
- 13.2k
12
votes
0
answers
849
views
Compact Symplectic Fano (strongly monotone) manfiolds
What are known examples of compact symplectic Fano manifolds, apart from those that come from algebraic geometry?
We define symplectic Fano manifold as a symplectic manifold $(M,w)$, such that
$[c_1 …
- 28.9k