Cobordism invariants of the moduli space of stable pairs

@article{Shen2016CobordismIO,
  title={Cobordism invariants of the moduli space of stable pairs},
  author={Junliang Shen},
  journal={J. Lond. Math. Soc.},
  year={2016},
  volume={94},
  pages={427-446}
}
  • Junliang Shen
  • Published 2016
  • Computer Science, Mathematics
  • J. Lond. Math. Soc.
For a quasi-projective scheme M which carries a perfect obstruction theory, we construct the virtual cobordism class of M. If M is projective, we prove that the corresponding Chern numbers of the virtual cobordism class are given by integrals of the Chern classes of the virtual tangent bundle. Further, we study cobordism invariants of the moduli space of stable pairs introduced by Pandharipande-Thomas. Rationality of the partition function is conjectured together with a functional equation… Expand
Sheaves on surfaces and virtual invariants
Descendents for stable pairs on 3-folds
J ul 2 01 9 The homology of moduli stacks of complexes
A rank 2 Dijkgraaf-Moore-Verlinde-Verlinde formula
The homology of moduli stacks of complexes
Virtual intersection theories
Virtual Refinements of the Vafa–Witten Formula
...
1
2
...

References

SHOWING 1-10 OF 35 REFERENCES
Algebraic cobordism revisited
Curve counting via stable pairs in the derived category
Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
Stable pairs and BPS invariants
Algebraic Cobordism
Quantum Riemann–Roch, Lefschetz and Serre
...
1
2
3
4
...