Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 15, Number 4 (2015), 2439-2477.
Lagrangian cobordisms via generating families: Construction and geography
Embedded Lagrangian cobordisms between Legendrian submanifolds are produced by 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 nonclassical geography question: any graded group satisfying a duality condition can be realized as the generating family homology of a connected Legendrian submanifold in or in the –jet space of any compact –manifold with .
Algebr. Geom. Topol., Volume 15, Number 4 (2015), 2439-2477.
Received: 18 September 2014
Accepted: 25 November 2014
First available in Project Euclid: 16 November 2017
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Bourgeois, Frédéric; Sabloff, Joshua M; Traynor, Lisa. Lagrangian cobordisms via generating families: Construction and geography. Algebr. Geom. Topol. 15 (2015), no. 4, 2439--2477. doi:10.2140/agt.2015.15.2439. https://projecteuclid.org/euclid.agt/1510841008