Mirror stability conditions and SYZ conjecture for Fermat polynomials

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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.

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