Special Lagrangian fibrations, wall-crossing, and mirror symmetry
In this survey paper, we briefly review various aspects of the SYZ approach to mirror symmetry for non-Calabi-Yau varieties, focusing in particular on Lagrangian fibrations and wall-crossing phenomena in Floer homology. Various examples are presented, some of them new.
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| Format: | Book chapter |
| Language: | en_US |
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International Press of Boston
2011
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| Online Access: | http://hdl.handle.net/1721.1/63598 |
| _version_ | 1826190084597088256 |
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| author | Auroux, Denis |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Auroux, Denis |
| author_sort | Auroux, Denis |
| collection | MIT |
| description | In this survey paper, we briefly review various aspects of the SYZ
approach to mirror symmetry for non-Calabi-Yau varieties, focusing in particular
on Lagrangian fibrations and wall-crossing phenomena in Floer homology. Various
examples are presented, some of them new. |
| first_indexed | 2024-09-23T08:34:47Z |
| format | Book chapter |
| id | mit-1721.1/63598 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:34:47Z |
| publishDate | 2011 |
| publisher | International Press of Boston |
| record_format | dspace |
| spelling | mit-1721.1/635982022-09-23T13:02:03Z Special Lagrangian fibrations, wall-crossing, and mirror symmetry Auroux, Denis Massachusetts Institute of Technology. Department of Mathematics Auroux, Denis Auroux, Denis Auroux, Denis In this survey paper, we briefly review various aspects of the SYZ approach to mirror symmetry for non-Calabi-Yau varieties, focusing in particular on Lagrangian fibrations and wall-crossing phenomena in Floer homology. Various examples are presented, some of them new. National Science Foundation (U.S.) (Grant No. DMS-0600148) National Science Foundation (U.S.) (Grant No. DMS-0652630) 2011-06-09T12:49:21Z 2011-06-09T12:49:21Z 2009-08 Book chapter http://purl.org/eprint/type/BookItem 978-1-57146-138-4 1571461388 http://hdl.handle.net/1721.1/63598 Auroux, Denis. “Special Lagrangian Fibrations, Wall-crossing, and Mirror Symmetry.” in Surveys in Differential Geometry: Geometry, Analysis and Algebraic Geometry: Forty Years of the Journal of Differential Geometry, edited by Huai-Dong Cao and Shing-Tung Yau. Somerville, MA :International Press, 2009. en_US http://www.intlpress.com/books/9781571461384.htm Surveys in Differential Geometry, Volume 13 Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf International Press of Boston Prof. Auroux via Michael Noga |
| spellingShingle | Auroux, Denis Special Lagrangian fibrations, wall-crossing, and mirror symmetry |
| title | Special Lagrangian fibrations, wall-crossing, and mirror symmetry |
| title_full | Special Lagrangian fibrations, wall-crossing, and mirror symmetry |
| title_fullStr | Special Lagrangian fibrations, wall-crossing, and mirror symmetry |
| title_full_unstemmed | Special Lagrangian fibrations, wall-crossing, and mirror symmetry |
| title_short | Special Lagrangian fibrations, wall-crossing, and mirror symmetry |
| title_sort | special lagrangian fibrations wall crossing and mirror symmetry |
| url | http://hdl.handle.net/1721.1/63598 |
| work_keys_str_mv | AT aurouxdenis speciallagrangianfibrationswallcrossingandmirrorsymmetry |