In this talk we first introduce a new ‘singularity-free’ approach to the proof of Seidel’s long exact sequence, including the fixed-point version. This conveniently generalizes to Dehn twists along Lagrangian submanifolds which are rank one symmetric spaces and their covers, including ℝPn and ℂPn, matching a mirror prediction due to Huybrechts and Thomas. The idea of the proof can be interpreted as a ‘mirror’ of the construction in algebraic geometry, realized by a new surgery and cobordism construction.
This is a joint work with Cheuk-Yu Mak.
This video is part of the Institute for Advanced Study‘s Symplectic geometry seminar.
