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Mirror stability conditions and SYZ conjecture for Fermat polynomials

2010/10/26 by So Okada, Okada, So
Mathematics · #Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT) #Symplectic Geometry (math.SG) #math.AG #math.CT #math.RT #math.SG

paper · pdf · doi:10.48550/arxiv.1010.5397

arxiv created 2010/10/26 · arxiv updated 2010/10/27

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.

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