Counting pseudo-holomorphic submanifolds in dimension 4

Journal of Differential Geometry

Volumn 44, Issue 4, 1996, Pages 818-893

  Henry Taubes, Clifford ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030292537     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214459411     Document Type: Article

References (15)

1. N. Aronszajn, A unique continuation principle for elliptic differential equations o\ inequalities of the second order, J. Math. Pures Appl. 36 (1957) 235-239.
2. M. Gromov, Pseudo-holomorphic curves in symplectic manifolds, Invent. Math. 8S (1985) 307-347.
3. T. Kato, Perturbation theory for linear operators, Springer, Berlin, 1976.
4. D. McDuff, Singularities and positivity of intersections of J-holomorpic curves, witi Appendix by Gang Liu, Proc. CIMPA Summer School on Symplectic Topology Nice 1992, Birkhauser, Boston, 1994.
5. D. McDuff &D. Salamon, J-Holomorphic curves and quantum cohomology, Amer Math. Soc., Providence, 1994.
6. T. H. Parker &J. G. Wolfson, Pseudo-holomorphic maps and bubble trees, J. Geom Anal. 3 (1993) 63-98.
7. Y. Ruan, Symplectic toppology and complex surfaces, Geom. Topology on Comple: Manifolds, (T. Mabuchi, J. Noguchi and T. Ochial, eds.), World Scientific Publ. Singapore, 1994.
8. Y. Ruan & G. Tian, A mathematical theory of quantum cohomology, J. Differentia Geom. 42 (1995) 259-367.
9. S. Smale, An infinite dimensional version of Sard’s theorem, Amer. J. Math. 81 (1968) 861-866.
10. C. H. Taubes, The Seiberg-Witten and the Gromov invariants, Math. Res. Letter: 1 (1995) 809-822.
11. C. H. Taubes, SW => Gr: Prom the Seiberg-Witten invariants to pseudo-holomorphu curves, J. Amer. Math. Soc. 9 (1996) 845-918.
12. C. H. Taubes, Gr => SW: From pseudo-holomorphic curves to the Seiberg-Witten in variants, in preparation.
13. E. Witten, Monopoles and 4-manifolds, Math. Res. Letters 1 (1994) 769-796.
14. E. Witten, Two dimensional gravity and intersection theory on moduli space Surveys in Differential Geom. 1 (1991) 243-310.
15. R. Ye, Gromov’s compactness theorem for pseudoholomorphic curves, Trans. Amer. Math. Soc. 342 (1994) 671-694