数学科学研究所
Insitute of Mathematical Science

Seminar talk: A product structure on the Floer homology of Lagrangian cobordisms.

Seminar talk | Institute of Mathematical Sciences

Time:10:30-11:30, Oct. 19, Wednesday

LocationRoom 302, Library


Speaker: Noémie Legout, IMS, ShanghaiTech University


AbstractIn 2015, Chantraine, Dimitroglou-Rizell, Ghiggini and Golovko have defined a Floer complex associated to a certain type of Lagrangian submanifolds in a symplectic manifold. More precisely, these Lagrangians are exact and non compact, and have cylindrical Legendrian ends. I this talk, I will recall the definition of these terms and this complex, and explain how to construct a product structure on it. This product recovers the cup product on singular cohomology when the Lagrangian submanifold we look at is a Lagrangian filling of a Legendrian submanifold.

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