##  [Symplectic Topology](/symplectic-topology) 

  ##  [Symplectic Topology](https://puremath.quantumdictionary.io/symplectic-topology-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Investigation of global and qualitative properties of symplectic manifolds and symplectomorphisms, emphasizing rigidity and flexibility phenomena encoded by a nondegenerate closed 2-form and studied using tools such as pseudo-holomorphic curve techniques and Floer-type homologies.