2013/07/27 by François Charette, Charette, François, Octav Cornea +1 · 2 citations
Mathematics · #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.1307.7235
openalex publication_date 2013/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Two natural symplectic constructions, the Lagrangian suspension and Seidel's quantum representation of the fundamental group of the group of Hamiltonian diffeomorphisms, Ham(M), with (M,ω) a monotone symplectic manifold, admit categorifications as actions of the fundamental groupoid Π(Ham(M)) on a cobordism category recently introduced in \citeBi-Co:cob2 and, respectively, on a monotone variant of the derived Fukaya category. We show that the functor constructed in \citeBi-Co:cob2 that maps the cobordism category to the derived Fukaya category is equivariant with respect to these actions.