Friday, May 3, 2013

1305.0345 (Yukinobu Toda)

Gepner point and strong Bogomolov-Gieseker inequality for quintic
3-folds
   [PDF]

Yukinobu Toda
We propose a conjectural stronger version of Bogomolov-Gieseker inequality for stable sheaves on quintic 3-folds. Our conjecture is derived from an attempt to construct a Bridgeland stability condition on graded matrix factorizations, which should correspond to the Gepner point via mirror symmetry and Orlov equivalence. We prove our conjecture in the rank two case.
View original: http://arxiv.org/abs/1305.0345

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