Legendrian ambient surgery and Legendrian contact homology

By Georgios Dimitroglou Rizell. 2012

70 citations recorded by the source corpus.

Let  be a Legendrian submanifold of a contact manifold  and let  be a framed sphere bounding a subcritical isotropic disk in . We may perform an ambient surgery on  along , obtaining a Legendrian s ...

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d4e56e4e609ca13795f4c2a30c9a20735c1b7a0c

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In Applied Mathematics

1. Roger Casals
2. Emmy Murphy

In Geometry and Topology

1. Roger Casals
2. Emmy Murphy

Citations in the corpus

• Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors (2017, unknown): “We refer to [14] for more details.”
• Lagrangian cobordisms via generating families: Construction and geography (2014, unknown): “As noted in the introduction, this construction is closely related to those of Entov [21] and Dimitroglou Rizell [12].”
• Legendrian fronts for affine varieties (2016, background): “Legendrian ambient surgeries are given by upward exact Lagrangian cobordisms, whose smooth type is that of a single handle attachment of the corresponding index [12, 21].”