2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164966We describe the natural gluing map on sutured Floer homology which is induced by the inclusion of one sutured manifold (M',Γ') into a larger sutured manifold (M,Γ), together with a contact structure on M-M'. As an application of this gluing map, we produce a (1+1)-dimensional TQFT by dimensional reduction and study its properties.37 pages, 19 figuresGeometric Topology57M50 (Primary) 53C15 (Secondary)text