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Viac informácií o knihe Homological Mirror Symmetry and Tropical Geometry

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• Anotácia kniha
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Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Geometry

• Celý názov: Homological Mirror Symmetry and Tropical Geometry
• Autor: Ricardo Castano-Bernard, Fabrizio Catanese, Maxim Kontsevich, Tony Pantev
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 436
• EAN: 9783319065137
• ISBN: 3319065130
• ID: 02581579
• Nakladateľ: Springer International Publishing AG
• Hmotnosť: 682 g
• Rozmery: 238 × 160 × 25 mm
• Dátum vydania: 08. October 2014

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