Suspending Lefschetz fibrations, with an application to Local Mirror Symmetry
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Seidel_Suspending Lefschetz.pdf
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210.57 KB
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Author(s)
Seidel, Paul
Date Issued
October 2009
Journal
Communications in Mathematical Physics
Publisher
Springer-Verlag
Citation
Seidel, Paul. “Suspending Lefschetz Fibrations, with an Application to Local Mirror Symmetry.” Communications in Mathematical Physics 297.2 (2009): 515–528. Web.
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1007/s00220-009-0944-8