Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "symplectic topology"

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  • Symmetry in monotone Lagrangian Floer theory 

    Smith, Jack Edward (University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsTrinity College, 2017-10-01)
    In this thesis we study the self-Floer 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 

    Abouzaid, Mohammed; Smith, Ivan (Duke University PressDuke Mathematical Journal, 2016-01-28)
    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 degree-one ...