Gromov Invariants for Holomorphic Maps from Riemann Surfaces to Grassmannians

@inproceedings{Bertram1993GromovIF,
  title={Gromov Invariants for Holomorphic Maps from Riemann Surfaces to Grassmannians},
  author={Aaron Bertram and Georgios K Daskalopoulos and Richard A. Wentworth},
  year={1993}
}
Two compactifications of the space of holomorphic maps of fixed degree from a compact Riemann surface to a Grassmannian are studied. It is shown that the Uhlenbeck compactification has the structure of a projective variety and is dominated by the algebraic compactification coming from the Grothendieck Quot Scheme. The latter may be embedded into the moduli space of solutions to a generalized version of the vortex equations studied by Bradlow. This gives an effective way of computing certain… CONTINUE READING
Highly Cited
This paper has 71 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 18 references

An application of transversality to the topology of the moduli space of stable bundles, Topology

G. D-U Daskalopoulos, K. Uhlenbeck
1994

Toplogical sigma model and Donaldson type invariants in Gromov theory

Y. Ruan
preprint, • 1993
View 1 Excerpt

Moduli of rank 2 vector bundles, theta divisors, and the geometry of curves on projective space

A. Bertram
J. Diff. Geom • 1992

in “Essays on Mirror Manifolds

C. Vafa, Topological mirrors, quantum rings
S.-T. Yau, ed., International Press, Hong Kong, • 1992
View 2 Excerpts

Fusion Residues

Kenneth Intriligator
1991

Special metrics and stability for holomorphic bundles with global sections

S. B. Bradlow
J. Diff. Geom • 1991

Birational equivalence in the symplectic category

V. G-S Guillemin, S. Sternberg
Invent. Math • 1989

Symplectic fixed points and holomorphic spheres

A. Floer
Commun. Math. Phys • 1989

Gromov’s compactness of pseudo-holomorphic curves and symplectic geometry

J. Wolfson
J. Diff. Geom • 1988

Similar Papers

Loading similar papers…