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start [2017/08/29 17:08]
alvaro [Research ideas/questions] 		start [2017/08/29 17:14] (Version actuelle)
alvaro [Symplectic foliations]
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   * [[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?
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 ====== Research ideas/questions ===== ====== Research ideas/questions =====
  
- * [[Differential operators and foliations]]+The following is a list of the particular topics and questions brought up by the participants.
  
- * [[Transverse submanifolds and foliations]]+  *  [[Differential operators and foliations]]
  
- * [[Existence of symplectic foliations]]+  *  [[Transverse submanifolds and foliations]]
  
- * [[The confoliation programme]]+  *  [[Existence of symplectic foliations]]
  
- * [[Deformations of symplectic foliations]]+  *  [[The confoliation programme]]
  
- * [[Foliated symplectic topology]]+  *  [[Deformations of symplectic foliations]] 
 + 
 +  *  [[Foliated symplectic topology]]
  
  
start.1504019329.txt.gz · Dernière modification: 2017/08/29 17:08 de alvaro

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