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Homological Mirror Symmetry and Tropical Geometry

By Ricardo Castano-Bernard (Editor), Fabrizio Catanese (Editor), Maxim Kontsevich (Editor), Tony Pantev (Editor), Yan Soibelman (Editor), Ilia Zharkov (Editor)
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$109.00
By Ricardo Castano-Bernard (Editor), Fabrizio Catanese (Editor), Maxim Kontsevich (Editor), Tony Pantev (Editor), Yan Soibelman (Editor), Ilia Zharkov (Editor)
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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 a...

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Science & TechnologyMathematicsGeometryGeometry - Algebraic