Suspending Lefschetz Fibrations, with an Application to Local Mirror Symmetry

By P. Seidel. 2009

60 citations recorded by the source corpus.

We describe the behaviour of Fukaya categories under “suspension”, which means passing from the fibre of a Lefschetz fibration to the double cover of the total space branched along that fibre. As an application, we consider the mirrors of canonical bundles of toric Fano surfaces.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b5a4d796ae29f805eda197dd16f0f8f584db4b7a

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In Geometry and Topology

1. I. Smith
2. Alexander F. Ritter
3. M. Abouzaid
4. P. Seidel
5. A. Oancea
6. Kai Cieliebak
7. D. Auroux
8. Ben Webster

In Mathematical Physics

1. I. Smith
2. Alexander F. Ritter
3. M. Abouzaid
4. P. Seidel
5. A. Oancea
6. Kai Cieliebak
7. D. Auroux
8. Ben Webster

In Statistical and Nonlinear Physics

1. I. Smith
2. Alexander F. Ritter

Citations in the corpus

• The monotone wrapped Fukaya category and the open-closed string map (2012, background): “[14, Prop.33]. Remark 1.9. Local Calabi-Yau’s (total spaces of canonical bundles over Fano varieties) are well-known testing grounds for many aspects of mirror symmetry, with rich symplectic topology [31, 13]. Monotone negative line bundles form another class of “local symplectic manifolds”, which –”