Homological Mirror Symmetry and Tropical Geometry

• Corporate Author: SpringerLink (Online service)
• Other Authors: Castano-Bernard, Ricardo (Editor), Catanese, Fabrizio (Editor), Kontsevich, Maxim (Editor), Pantev, Tony (Editor), Soibelman, Yan (Editor), Zharkov, Ilia (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes of the Unione Matematica Italiana, 15
• Subjects: Mathematics.; Algebraic geometry.; Differential geometry.; Algebraic Geometry.; Differential Geometry.

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 “tr...