Wall crossing for symplectic vortices and quantum cohomology

@inproceedings{Cieliebak2004WallCF,
  title={Wall crossing for symplectic vortices and quantum cohomology},
  author={Kai Cieliebak and Ludwig Maximilans},
  year={2004}
}
We derive a wall crossing formula for the symplectic vortex invariants of toric manifolds. As an application, we give a proof of Batyrev's formula for the quantum cohomology of a monotone toric manifold with minimal Chern number at least two. 

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 10 references

J-holomorphic Curves and Quantum Cohomology

  • D. McDu, D. Salamon
  • Third Edition,
  • 2003
Highly Influential
3 Excerpts

Gromov{Witten invariants of symplectic quotients and adiabatic limits, Preprint ETH{Z urich

  • A. R. Gaio, D. A. Salamon
  • 2001
1 Excerpt

The Gromov-Witten invariants of symplectic toric manifolds, Preprint, math.AG/006156

  • H. Spielberg
  • 2000
2 Excerpts

The Topology of Torus Actions on Symplectic Manifolds, Progress

  • M. Audin
  • 1991
1 Excerpt

Convex Bodies and Algebraic Geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete

  • T. Oda
  • Folge Band 14,
  • 1985

The index of elliptic operators: IV

  • M. F. Atiyah, I. Singer
  • Annals of Mathematics
  • 1971

The index of elliptic operators: III

  • M. F. Atiyah, I. Singer
  • Annals of Mathematics
  • 1968

Similar Papers

Loading similar papers…