Complex curves and surgery

Simon K. Donaldson

Publications Mathématiques de l'IHÉS (1988)

  • Volume: 68, page 91-97
  • ISSN: 0073-8301

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Donaldson, Simon K.. "Complex curves and surgery." Publications Mathématiques de l'IHÉS 68 (1988): 91-97. <http://eudml.org/doc/104045>.

@article{Donaldson1988,
author = {Donaldson, Simon K.},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {minimal genus; closed surface; homology class; smooth 4-manifold; smooth algebraic curve; Yang-Mills theory; negative definite intersection form},
language = {eng},
pages = {91-97},
publisher = {Institut des Hautes Études Scientifiques},
title = {Complex curves and surgery},
url = {http://eudml.org/doc/104045},
volume = {68},
year = {1988},
}

TY - JOUR
AU - Donaldson, Simon K.
TI - Complex curves and surgery
JO - Publications Mathématiques de l'IHÉS
PY - 1988
PB - Institut des Hautes Études Scientifiques
VL - 68
SP - 91
EP - 97
LA - eng
KW - minimal genus; closed surface; homology class; smooth 4-manifold; smooth algebraic curve; Yang-Mills theory; negative definite intersection form
UR - http://eudml.org/doc/104045
ER -

References

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  1. [1] BARTH W., PETERS C. and VAN DE VEN A., Compact Complex surfaces, Berlin-Heidelberg, Springer, 1984. Zbl0718.14023MR86c:32026
  2. [2] DONALDSON S. K., Polynomial Invariants for smooth 4-manifolds, to appear in Topology. Zbl0715.57007
  3. [3] FINTUSHEL R. and STERN R., Pseudo-free Orbifolds, Annals of Math., 2, 122 (1985), 523-529. Zbl0602.57013MR87a:57027
  4. [4] FLOER A., An instanton invariant for 3-manifolds, Courant Institute Preprint, 1987. Zbl0684.53027
  5. [5] FURUTA M., On self-dual pseudo-connections on some orbiofolds, Tokyo University Preprint, 1985. 
  6. [6] FRIEDMAN R. and MORGAN J. W., Algebraic surfaces and 4-manifolds : some conjectures and speculations, Bull. A.M.S., 18 (1) (1988), 1-19. Zbl0662.57016MR89g:57046
  7. [7] FRIEDMAN R. and MORGAN J. W., Complex versus differentiable classification of algebraic surfaces, Columbia Univ. Preprint, 1988. 
  8. [8] GRIFFITHS P. A. and HARRIS J., Principles of algebraic geometry, New York, John Wiley, 1978. Zbl0408.14001MR80b:14001
  9. [9] HSIANG W. C. and SCZARBA R., On embedding surfaces in 4-manifolds, Proc. Symp. Pure Math., 22 (1970), 97-103. Zbl0234.57009
  10. [10] KERVAIRE M. and MILNOR J. W., On 2-spheres in 4-manifolds, Proc. Nat. Acad. Sci. U.S.A., 47 (1961), 1651-1657. Zbl0107.40303MR24 #A2968
  11. [11] KIRBY R., Problems in low-dimensional topology, Proc. Symp. Pure. Math., 32 (1970), 273-322. Zbl0394.57002
  12. [12] KUGA K., Representing homology classes in S2 X S2, Topology, 23 (1984), 133-137. Zbl0551.57019MR85m:57011
  13. [13] MANDELBAUM R., Four-dimensional topology : an introduction, Bull. A.M.S., 2 (1) (1980), 1-160. Zbl0476.57005MR81j:57001
  14. [14] ROHLIN V., Two-dimensional submanifolds of four-dimensional manifolds, Functional Analysis Appl., 6 (1972), 136-138. 
  15. [15] RUDOLPH L., Some topologically locally flat surfaces in the complex projective plane, Comment. Math. Helvetici., 59 (1984), 592-599. Zbl0575.57003MR86h:57019

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