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We present a construction of Donaldson-Thomas invariants for three-dimensional projective Calabi-Yau Deligne-Mumford stacks.
Grothendieck Duality for Projective Deligne-Mumford Stacks
F. Nironi · 1955
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Complexe cotangent et déformations. I
L. Illusie · 1971
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The intrinsic normal cone
K. Behrend and B. Fantechi · 1997
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Derived categories of twisted sheaves on Calabi-Yau manifolds
A. Caldararu · 2000
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A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on K 3 K3 fibrations
R. P. Thomas · 2000
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Algebraic orbifold quantum products
D. Abramovich, T. Graber, and A. Vistoli · 2001
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Orbifold Gromov-Witten theory
W. Chen and Y. Ruan · 2001
Cited alongside, same era.
Brauer groups and quotient stacks
D. Edidin, B. Hassett, A. Kresch, and A. Vistoli · 2001
Cited alongside, same era.
Quot functors for Deligne-Mumford stacks
M. Olsson and J. Starr · 2003
Cited alongside, same era.
On the geometry of Deligne-Mumford stacks
A. Kresch · 2005
Cited alongside, same era.
Gromov-Witten theory and Donaldson-Thomas theory. I
D. Maulik, N. Nekrasov, A. Okounkov, and R. Pandharipande · 2006
Cited alongside, same era.
A theory of generalized Donaldson-Thomas invariants
D. Joyce and Y. Song
Cited in the paper.
Gromov-Witten theory and Donaldson-Thomas theory. II
D. Maulik, N. Nekrasov, A. Okounkov, and R. Pandharipande · 2006
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Cluster decomposition, T T -duality, and gerby CFTs
S. Hellerman, A. Henriques, T. Pantev, E. Sharpe, and M. Ando · 2007
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Moduli of twisted sheaves
M. Lieblich · 2007
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Gromov-Witten theory of Deligne-Mumford stacks
D. Abramovich, T. Graber, and A. Vistoli · 2008
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Donaldson-Thomas type invariants via microlocal geometry
K. Behrend · 2009
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F. Nironi
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In preparation
X. Tang and H.-H. Tseng
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Deformation-obstruction theory for complexes via Atiyah and Kodaira–Spencer classes
R. P. Thomas D. Huybrechts
Cited in the paper.