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Lagrangian cobordisms via generating families: Construction and geography
2015
Algebraic and Geometric Topology
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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 generating
doi:10.2140/agt.2015.15.2439
fatcat:uzxpumsvpbg77nnjvqsk5lxfxu