Homological Mirror Symmetry and Tropical Geometry is popular PDF and ePub book, written by Ricardo Castano-Bernard in 2014-10-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Homological Mirror Symmetry and Tropical Geometry can be Read Online from any device for your convenience.
Homological Mirror Symmetry and Tropical Geometry Book PDF Summary
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.
Detail Book of Homological Mirror Symmetry and Tropical Geometry PDF
- Author : Ricardo Castano-Bernard
- Release : 07 October 2014
- Publisher : Springer
- ISBN : 9783319065144
- Genre : Mathematics
- Total Page : 445 pages
- Language : English
- PDF File Size : 12,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Homological Mirror Symmetry and Tropical Geometry by Ricardo Castano-Bernard, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.
