Apparaît dans la collection : 2021 - T2 - Symplectic topology, contact topology and interactions

I will define a Floer complex associated to a pair of transverse Lagrangian cobordisms in the symplectization of a contact manifold, by a count of SFT pseudo-holomorphic discs. Then I will show that this complex is endowed with an $A_\infty$ structure. Moreover, I will describe a continuation element in the complex associated to a cobordism L and a small transverse push-off of L.