Outils pour utilisateurs

Outils du site


start

Différences

Ci-dessous, les différences entre deux révisions de la page.

Lien vers cette vue comparative

Les deux révisions précédentes Révision précédente
Prochaine révision
Révision précédente
start [2017/08/25 15:07]
niederkruger [Research ideas/questions]
start [2017/08/29 17:14] (Version actuelle)
alvaro [Symplectic foliations]
Ligne 45: Ligne 45:
   * [[Obstructions to existence of symplectic foliations|Obstructions to existence]]. In the opposite direction, there are no known obstructions to the existence of strong symplectic foliations (apart from the obvious formal ones). Does a Novikov type theorem hold in this setting? What are some reasonable hypothesis for such a statement?   * [[Obstructions to existence of symplectic foliations|Obstructions to existence]]. In the opposite direction, there are no known obstructions to the existence of strong symplectic foliations (apart from the obvious formal ones). Does a Novikov type theorem hold in this setting? What are some reasonable hypothesis for such a statement?
  
-  * The [[Confoliations|confoliation programme]]. The formal data underlying a symplectic foliation and a contact structure is the same. Is it possible to reproduce Eliashberg and Thurston’s confoliation result in higher dimensions? Is it perhaps simpler to carry it out if one assumes strongness?+  * [[The confoliation programme|The confoliation programme]]. The formal data underlying a symplectic foliation and a contact structure is the same. Is it possible to reproduce Eliashberg and Thurston’s confoliation result in higher dimensions? Is it perhaps simpler to carry it out if one assumes strongness?
  
   * [[Pseudoholomorphic curve theory]]. In the strong case, under reasonable assumptions, moduli spaces of pseudoholomorphic curves should be compact manifolds endowed with singular foliations where the leaves correspond to the leafwise moduli spaces. What structure results for strong symplectic foliations can be obtained this way? What about classification results for fillings of contact foliations?   * [[Pseudoholomorphic curve theory]]. In the strong case, under reasonable assumptions, moduli spaces of pseudoholomorphic curves should be compact manifolds endowed with singular foliations where the leaves correspond to the leafwise moduli spaces. What structure results for strong symplectic foliations can be obtained this way? What about classification results for fillings of contact foliations?
Ligne 56: Ligne 56:
 ====== Research ideas/questions ===== ====== Research ideas/questions =====
  
- * [[Ioan Marcut]]+The following is a list of the particular topics and questions brought up by the participants. 
 + 
 +   [[Differential operators and foliations]] 
 + 
 +  *  [[Transverse submanifolds and foliations]] 
 + 
 +  *  [[Existence of symplectic foliations]] 
 + 
 +  *  [[The confoliation programme]] 
 + 
 +  *  [[Deformations of symplectic foliations]] 
 + 
 +  *  [[Foliated symplectic topology]] 
  
- * [[Atsuhide Mori]] 
start.1503666475.txt.gz · Dernière modification: 2017/08/25 15:07 de niederkruger