Timeline for Mirror of Flop?
Current License: CC BY-SA 2.5
4 events
when toggle format | what | by | license | comment | |
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Sep 1, 2010 at 19:44 | vote | accept | Mohammad Farajzadeh-Tehrani | ||
Sep 1, 2010 at 18:24 | comment | added | Eric Zaslow | No. The singularity is not a wall. It is complex codimension 1, real codimension 2. Around the singularity, you have a loop. The "monodromy" around this loop produces an autoequivalence of the derived category. These autoequivalences -- originally conjectured by Kontsevich -- have been studied in many cases, first rigorously by Seidel-Thomas. | |
Sep 1, 2010 at 17:40 | comment | added | Mohammad Farajzadeh-Tehrani | Exactly, but let me narrow my question more: Those two complexified kahler forms are connected via a path and somewhere in the middle of the path the contraction mentioned by "VA" above happens which is a wall-crossing between Kahler cones of two Calabi_Yau's . Is there a similar wall-crossing for the curve connecting two complex structures of mirror? If yes then what is the nature of that? | |
Sep 1, 2010 at 17:07 | history | answered | Eric Zaslow | CC BY-SA 2.5 |