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arxiv: 1010.5397 · v1 · pith:7G4SPIJRnew · submitted 2010-10-26 · 🧮 math.AG · math.CT· math.RT· math.SG

Mirror stability conditions and SYZ conjecture for Fermat polynomials

classification 🧮 math.AG math.CTmath.RTmath.SG
keywords conditionslagrangianstabilitycyclesfermatgradedmirrorvanishing
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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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