Some new applications of general wall crossing formula, Gompf's conjecture and its applications

Mathematical Research Letters

Volumn 3, Issue 5, 1996, Pages 569-585

  Liu, Ai Ko ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030300558     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1996.v3.n5.a1     Document Type: Article

References (21)

1. [FM] R. Friedman and J. Morgan, Algebraic surfaces and SW invariants, Preprint (1995).
2. [G] L. Gottsche, Wall crossing formula for Donaldson invariants, Preprint (1995).
3. [GH] P. Griffith and J. Harris, Principles of algebraic geometry, John Wiley & Sons.
4. [Gom] R. E. Gompf, A new construction of symplectic manifolds, Preprint.
5. [KM] P. Kronheimer and T. Mrowka, The genus of imbedded surfaces in the projective space, Math. Res. Lett. 1 (1994), 797-808.
6. [Liu] A. Liu, Some new applications of general wall crossing formula (early version), Preprint (1995).
7. [LL1] T. Li and A. Liu, General wall crossing formula, Math. Res. Lett. 2 (1995), 797-810.
8. [LL2] _, Symplectic structure on ruled surfaces and gneralized adjunction formula, Math. Res. Lett. 2 (1995), 453-471.
9. 2 = 1 symplectic four manifolds (1995).
10. [LL4] _, Unpublished note on the slight generalization of wall crossing formula (1995).
11. [M] D. McDuff, The structures of rational and ruled symplectic four manifolds, J. Amer. Math. Soc. 1 (1990), 679-710.
12. [Ser] J.-P. Serre, A course in arithmetic, Springer-Verlag, New York, 1973.
13. [T1] C. H. Taubes, SW → Gr, Preprint (1995).
14. [T2] _, The SW invariants and symplectic forms, Math. Res. Lett. 1 (1994), 809-822.
15. [T3] _, More constraints on symplectic manifolds from SW equations, Math. Res. Lett. 1 (1995.), 4-9.
16. [T4] _, Counting of pseudo-holomorphic tori, Preprint (1996).
17. [T5] _, Gr → SW, Preprint (1996).
18. [T6] _, The Seiberg Witten invariants and the Gromov invariants, Math. Res. Lett. 2 (1995), 221-238.
19. [W] E. Witten, Talks at MIT and Harvard (1994).
20. [W1] _, Monopoles and Four Manfolds, Math. Res. Lett. 1 (1994), 769-796.
21. [Wi1] H. Wilson, Calabi-Yau three folds with large Picard number, Invent. Math. 98 (1989), 139-155.