Localized Donaldson-Thomas theory of surfaces

  title={Localized Donaldson-Thomas theory of surfaces},
  author={Amin Gholampour and Artan Sheshmani and Shing-tung Yau},
Let $S$ be a projective simply connected complex surface and $\mathcal{L}$ be a line bundle on $S$. We study the moduli space of stable compactly supported 2-dimensional sheaves on the total spaces of $\mathcal{L}$. The moduli space admits a $\mathbb{C}^*$-action induced by scaling the fibers of $\mathcal{L}$. We identify certain components of the fixed locus of the moduli space with the moduli space of torsion free sheaves and the nested Hilbert schemes on $S$. We define the localized… CONTINUE READING
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