Homological Mirror Symmetry and Tropical Geometry
Language: English
Published by Springer International Publishing, 2014
Series: Book 14 of 26 - Lecture Notes of the Unione Matematica Italiana
- Softcover
- New
Seller: moluna, Greven, Germanymoluna
AbeBooks seller since July 9, 2020
Condition: New
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Add to basketItem description from seller
Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with .
Seller Inventory # 4497598
- Title
- Homological Mirror Symmetry and Tropical Geometry
- Author
- Castano-Bernard, Ricardo|Catanese, Fabrizio|Kontsevich, Maxim|Pantev, Tony|Soibelman, Yan|Zharkov, Ilia
- Publisher
- Springer International Publishing
- Publication year
- 2014
- Condition
- New
- Binding
- Kartoniert / Broschiert
- Language
- English
- ISBN 10
- 3319065130
- ISBN 13
- 9783319065137
- Series
- Book 14 of 26: Lecture Notes of the Unione Matematica Italiana
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
"Synopsis" may belong to another edition of this title.
From the Back Cover
The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the “tropical” approach to Gromov-Witten theory, and the work of Gross and Siebert, Tropical Geometry has now become a powerful tool.
Homological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993). Roughly speaking, the subject can be approached in two ways: either one uses Lagrangian torus fibrations of Calabi-Yau manifolds (the so-called Strominger-Yau-Zaslow picture, further developed by Kontsevich and Soibelman) or one uses Lefschetz fibrations of symplectic manifolds (suggested by Kontsevich and further developed by Seidel). Tropical Geometry studies piecewise-linear objects which appear as “degenerations” of the corresponding algebro-geometric objects.
"About the title" may belong to another edition of this title.
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