Mirror stability conditions and SYZ conjecture for Fermat polynomials

Abstract

Calabi-Yau Fermat varieties are obtained from moduli spaces of Lagrangian connect sums of graded Lagrangian vanishing cycles on stability conditions on Fukaya-Seidel categories. These graded Lagrangian vanishing cycles are stable representations of quivers on their mirror stability conditions.

References in corpus (3)

• On triangulated orbit categories
• Mirror symmetry and T-duality in the complement of an anticanonical divisor
• Stability Conditions and Branes at Singularities