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Symplectic Geometry Seminar

Immersed Lagrangian Floer theory, quilts, and bouding cochains (Zuyi Zhang)

Zuyi Zhang (Indiana)

Location:  Hill 705
Date & time: Friday, 12 April 2024 at 2:00PM - 3:00PM

Title: Immersed Lagrangian Floer theory, quilts, and bouding cochains
 
Abstract: Let F, F1, Fbe closed surfaces and F ↬ F× F2, L↬ F1, L↬ Fbe
Lagrangian immersions. In this talk, I will first discuss the singularities of
the Lagrangian immersion F ↬ F× F2. Following this, we will explore how
the Lagrangian composition of F ↬ F× Frelates the boundary maps of
CF(L1, F ◦L2; F1), CF(L1◦F, L2; F2), and the quilted Lagrangian Floer chain
group CFQ(L1, F, L2; F1, F2). Finally, examples will be given to discuss how
to construct the bounding cochains corresponding to figure-eight bubblings.
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