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Martin Sleziak
Martin Sleziak
1:24 PM
16
A: Does every smooth, projective morphism to $\mathbb{C}P^1$ admit a section?

eigenbunnyYes, using some symplectic geometry. Let's say we had $X \subset {\mathbb C}P^n \times {\mathbb C}P^1$, with projection to $\mathbb{C} P^1$ a smooth morphism (meaning, for topologists, a proper holomorphic submersion; all fibres are smooth). With the restriction of the standard Kaehler form, this...

Is http://front.math.ucdavis.edu/9511.5111 supposed to be https://arxiv.org/abs/dg-ga/9511011?
Paul Seidel: $\pi_1$ of symplectic automorphism groups and invertibles in quantum homology rings
> We define a homomorphism from (a certain extension of) the fundamental group of the Hamiltonian automorphism group of a symplectic manifold to the group of invertibles in its quantum cohomology ring. The manifold must satify a technical condition similar to weak monotonicity.
This revised version has been entirely rewritten. It is more general and contains new examples and applications.
Just to note, Martin and I found yet another oddity. The arXiv front identifier "9612.5114" which I thought should be "math/9612114", really points to "dg-ga/9612014". So maybe ***.51** = dg-ga? — David Roberts Sep 23 at 3:27
 

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