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Lagrangian cobordisms via generating families: Construction and geography
Algebraic and Geometric Topology
Embedded Lagrangian cobordisms between Legendrian submanifolds are produced from isotopy, spinning, and handle attachment constructions that employ the technique of generating families. Moreover, any Legendrian with a generating family has an immersed Lagrangian filling with a compatible generating family. These constructions are applied in several directions, in particular to a non-classical geography question: any graded group satisfying a duality condition can be realized as the generatingdoi:10.2140/agt.2015.15.2439 fatcat:uzxpumsvpbg77nnjvqsk5lxfxu