Vertical sheaves and Fourier-Mukai transform on elliptic Calabi-Yau threefolds

25 Sep 2015  ·  Diaconescu Duiliu-Emanuel ·

This paper studies the action of the Fourier-Mukai transform on moduli spaces of vertical torsion sheaves on elliptic Calabi-Yau threefolds in Weierstrass form. Moduli stacks of semistable one dimensional sheaves on such threefolds are identified with open and closed substacksof moduli stacks of vertical semistable two dimensional sheaves on their Fourier-Mukai duals... In particular, this yields explicit conjectural results for Donaldson-Thomas invariants of vertical two dimensional sheaves on K3-fibered elliptic Calabi-Yau threefolds. read more

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Algebraic Geometry High Energy Physics - Theory