Standard surfaces and nodal curves in symplectic 4-manifolds
Usher, M.
J. Differential Geom., Tome 75 (2007) no. 1, p. 237-290 / Harvested from Project Euclid
Continuing the program of S. Donaldson and I. Smith, and M. Usher, we introduce refinements of the Donaldson-Smith standard surface count which are designed to count nodal pseudoholomorphic curves and curves with a prescribed decomposition into reducible components. In cases where a corresponding analogue of the Gromov-Taubes invariant is easy to define, our invariants agree with those analogues. We also prove a vanishing result for some of the invariants that count nodal curves.
Publié le : 2007-10-14
Classification: 
@article{1191860395,
     author = {Usher, M.},
     title = {Standard surfaces and nodal curves in symplectic 4-manifolds},
     journal = {J. Differential Geom.},
     volume = {75},
     number = {1},
     year = {2007},
     pages = { 237-290},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1191860395}
}
Usher, M. Standard surfaces and nodal curves in symplectic 4-manifolds. J. Differential Geom., Tome 75 (2007) no. 1, pp.  237-290. http://gdmltest.u-ga.fr/item/1191860395/