Top Menu

Symplectic Topology Seminar: Paolo Ghiggini “From ECH to HF: The Story You Have Never Heard”

Paolo Ghiggini, Univ. de Nantes

Title: From ECH to HF: The Story You Have Never Heard
Program: Symplectic and Contact Geometry and Connections to Low-Dimensional Topology
Speaker: Paolo Ghiggini, Univ. de Nantes
Date: Tuesday, October 2, 2012
Time: 10:00am – 11:00am
Place: Seminar Room 313, Simons Center

 

 

Abstract: After describing definitions of \widehat{HF} and \widehat{ECH} adapted to open book decompositions, I will define a map from \widehat{ECH}(M) to \widehat{HF}(-M). This map is defined by counting J-holomorphic curves in a symplectic cobordism but, unlike the definition of  the map from \widehat{HF} and \widehat{ECH}, the construction is subtle and seems related to a Floer theoretic implementation of Poincaré duality in (S1)^{2g}.

[box, type=”download”]Watch the video.[/box]