Homological Mirror Symmetry and Tropical 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...

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Bibliographic Details
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:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Oren Ben-Bassat and Elizabeth Gasparim: Moduli Stacks of Bundles on Local Surfaces
  • David Favero, Fabian Haiden and Ludmil Katzarkov: An orbit construction of phantoms, Orlov spectra and Knörrer Periodicity
  • Stéphane Guillermou and Pierre Schapira: Microlocal theory of sheaves and Tamarkin’s non displaceability theorem
  • Sergei Gukov and Piotr Sułkowski: A-polynomial, B-model and Quantization
  • M. Kapranov, O. Schiffmann, E. Vasserot: Spherical Hall Algebra of Spec(Z)
  • Maxim Kontsevich and Yan Soibelman: Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and mirror Symmetry
  • Grigory Mikhalkin and Ilia Zharkov: Tropical eigen wave and intermediate Jacobians
  • Andrew Neitzke: Notes on a new construction of hyperkahler metrics
  • Helge Ruddat: Mirror duality of Landau-Ginzburg models via Discrete Legendre Transforms
  • Nicolo Sibilla: Mirror Symmetry in dimension one and Fourier-Mukai transforms
  • Alexander Soibelman: The very good property for moduli of parabolic bundles and the additive Deligne-Simpson problem.