1304.0937 (So Okada)

Quintic periods and stability conditions via homological mirror symmetry    [PDF]

So Okada

For the Fermat quintic Calabi-Yau threefold and the theory of stability conditions [Bri07], there have been two natural aims. One is that we should define central charges of stability conditions by quintic periods [CdGP] without losing quantum corrections. The other is that for well-motivated stability conditions on a derived Fukaya-type category, stable objects should be Lagrangians. For the Fermat quintic Calabi-Yau threefold, we answer affirmatively to these aims with the simplest homological mirror symmetry in [Oka09,FutUed].

View original: http://arxiv.org/abs/1304.0937