Téléchargez le livre : Homological Mirror Symmetry and Tropical Geometry

Homological Mirror Symmetry and Tropical Geometry



de

Éditeur :

Springer


Collection :

Lecture Notes of the Unione Matematica Italiana

Paru le : 2014-10-07



eBook Téléchargement , DRM LCP 🛈 DRM Adobe 🛈
Lecture en ligne (streaming)
105,49 €
Téléchargement immédiat
Dès validation de votre commande
Ajouter à ma liste d'envies
Image Louise Reader présentation

Louise Reader

Lisez ce titre sur l'application Louise Reader.

badge apple Application Louise Reader
badge Android Application Louise Reader
Description
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.
Pages
436 pages
Collection
Lecture Notes of the Unione Matematica Italiana
Parution
2014-10-07
Marque
Springer
EAN papier
9783319065137
EAN EPUB
9783319065144
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
43
Taille du fichier
6758 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
105,49 €

Suggestions personnalisées