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Symplectic Topology Seminar: Katrin Wehrheim, “Figure Eight Bubbles in Pseudoholomorphic Quilts”

Katrin Wehrheim, MIT

Title: Figure Eight Bubbles in Pseudoholomorphic Quilts
Speaker: Katrin Wehrheim, MIT
Date: Monday, November 12, 2012
Time: 2:00pm – 3:00pm
Place: Seminar Room 313, Simons Center

 

 

 

Abstract: In joint work with Nate Bottman we prove a Gromov compactness theorem for strip shrinking in pseudoholomorphic quilts, where the corresponding geometric composition of Lagrangian correspondences is allowed to be immersed. In the case of locally clean intersection, we obtain removal of singularity and elliptic estimates for figure eight bubbles. Moreover, gluing analysis indicates that figure eight bubbling has smaller codimension than both disk and sphere bubbling. Consequently, we give a conjectural relationship between the A∞ structures on quilted Floer complexes that are related by geometric composition.

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