Holomorphic triangles and invariants for smooth four-manifolds

Advances in Mathematics

Volumn 202, Issue 2, 2006, Pages 326-400

  Ozsváth, Peter ^a   Szabó, Zoltán ^b  

^a Howard Hughes Medical Institute   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

Floer homology; Four manifolds

Indexed keywords

EID: 33646130158     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2005.03.014     Document Type: Article

References (18)

1. Cartan H., and Eilenberg S. Homological Algebra (1956), Princeton University Press, Princeton, NJ
2. V. de Silva, Products in the symplectic Floer homology of Lagrangian intersections, Ph.D. Thesis, Oxford, 1999.
3. Donaldson S.K. An application of gauge theory to four-dimensional topology. J. Differential Geom. 18 2 (1983) 279-315
4. Donaldson S.K. Polynomial invariants for smooth four-manifolds. Topology 29 3 (1990) 257-315
5. Fintushel R., and Stern R.J. Immersed spheres in 4-manifolds and the immersed Thom conjecture. Turkish J. Math. 19 2 (1995) 145-157
6. Frøyshov K.A. The Seiberg-Witten equations and four-manifolds with boundary. Math. Res. Lett. 3 (1996) 373-390
7. Fukaya K., Oh Y.-G., Ono K., and Ohta H. Lagrangian intersection Floer theory-anomaly and obstruction (2000), Kyoto University
8. R.E. Gompf, A.I. Stipsicz, 4-Manifolds and Kirby Calculus, Graduate Studies in Mathematics, vol. 20, American Mathematical Society, Providence, RI, 1999.
9. 3. Invent. Math. 45 1 (1978) 35-56
10. Kronheimer P.B., and Mrowka T.S. The genus of embedded surfaces in the projective plane. Math. Res. Lett. 1 (1994) 797-808
11. Morgan J.W., Szabó Z., and Taubes C.H. A product formula for Seiberg-Witten invariants and the generalized Thom conjecture. J. Differential Geom. 44 (1996) 706-788
12. Ozsváth P., and Szabó Z. Holomorphic triangle invariants and the topology of symplectic four-manifolds. Duke Math. J. 121 1 (2004) 1-34
13. Ozsváth P.S., and Szabó Z. The symplectic Thom conjecture. Ann. of Math. 151 1 (2000) 93-124
14. Ozsváth P.S., and Szabó Z. Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary. Adv. Math. 173 2 (2003) 179-261
15. Ozsváth P.S., and Szabó Z. Holomorphic disks and three-manifold invariants: properties and applications. Ann. of Math. (2) 159 3 (2004) 1159-1245
16. Ozsváth P.S., and Szabó Z. Holomorphic disks and topological invariants for closed three-manifolds. Ann. of Math. (2) 159 3 (2004) 1027-1158
17. Taubes C.H. The Seiberg-Witten invariants and symplectic forms. Math. Res. Lett. 1 6 (1994) 809-822
18. Witten E. Monopoles and four-manifolds. Math. Res. Lett. 1 (1994) 769-796