Lagrangian cobordism. I

By P. Biran, O. Cornea. 2011

70 citations recorded by the source corpus.

This paper discusses the cobordism of Lagrangian submanifolds (in the monotone setting) and structures it as a category that is related in a functorial way to an appropriate (derived) Fukaya category. Are also discussed obstructions to cobordism based on properties of Lagrangian quantum homology, relations to Lagrangian surgery, as well as examples of non-isotopic but cobordant Lagrangians. This is a revision of our earlier preprint from September 2011.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/eb3dac45211fb8b7fc84eba47b7686dc57da749d

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In Geometry and Topology

1. A. Oancea
2. Kai Cieliebak
3. M. Abouzaid
4. Alexander F. Ritter
5. Frederick J. Bourgeois III
6. P. Seidel
7. Mark McLean
8. Michael Hutchings

In Mathematical Physics

1. A. Oancea
2. Kai Cieliebak
3. Alexander F. Ritter
4. Frederick J. Bourgeois III
5. Mark McLean
6. P. Seidel
7. M. Abouzaid
8. Michael Hutchings

Citations in the corpus

• Symplectic homology and the Eilenberg-Steenrod axioms (2015, result): “This circle of ideas should be compared with the results of Biran and Cornea [9], and also with the results of Dimitroglou Rizell and Golovko [32].”