Lagrangian embeddings of RP^2 in rational symplectic 4-manifolds (Vsevolod Shevchishin -- University of Warmia and Mazury at Olsztyn)
Séminaire « Analyse complexe et équations différentielles »
								
        
            
            
            
                
                    
                    Salle de Kampé de Fériet
                
            
        
    
							
							
							
						Recently Borman-Li-Wu gave an example of two Lagrangian embeddings of RP^2
 in the 9-fold blow-up of CP^2 which have the same Z_2-homology class but
 not isotopic to each other even smoothly. In my talk I present a
 classification of isotopy classes of Lagrangian embeddings of RP^2 in rational symplectic 4-manifolds based on
 the technique of the symplectic neck stretching.
 I also explain the meaning of Lagrangian submanifolds in K"ahler manifolds
 from the point of view of complex analysis.