# Localized Donaldson-Thomas theory of surfaces

@inproceedings{Gholampour2017LocalizedDT,
title={Localized Donaldson-Thomas theory of surfaces},
author={Amin Gholampour and Artan Sheshmani and Shing-tung Yau},
year={2017}
}
• Published 2017
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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#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 10 REFERENCES

## “ Poincar invariants “ Counting curves on surfaces in Calabi – Yau 3 - folds ”

Barbara Fantechi, Lothar Göttsche
• Mathematische Annalen
• 2014

## Thomas . “ Deformation - obstruction theory for complexes via Atiyah and Kodaira - Spencer classes

P. Richard
• The geometry of moduli spaces of sheaves
• 2010

## “ The intrinsic normal cone . ”

W MooreGregory
• Inventiones Mathe - maticae
• 1997

## On certain numerical invariants of algebraic varieties with application to abelian varieties

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