Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "symplectic topology"
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Symmetry in monotone Lagrangian Floer theory
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsTrinity College, 20171001)In this thesis we study the selfFloer theory of a monotone Lagrangian submanifold $L$ of a closed symplectic manifold $X$ in the presence of various kinds of symmetry. First we consider the group $\mathrm{Symp}(X, L)$ ...

The symplectic arc algebra is formal
(Duke University PressDuke Mathematical Journal, 20160128)We prove a formality theorem for the Fukaya categories of the symplectic manifolds underlying symplectic Khovanov cohomology over fields of characteristic zero. The key ingredient is the construction of a degreeone ...