The Seiberg-Witten equations and four-manifolds with boundary

Mathematical Research Letters

Volumn 3, Issue 3, 1996, Pages 373-390

  Frøyshov, Kim A ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

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[No Author keywords available]

Indexed keywords

EID: 0030516475     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1996.v3.n3.a7     Document Type: Article

References (22)

1. [AB1] D. M. Austin and P. J. Braam, Morse-Bott theory and equivariant cohomology, Floer Memorial Volume, Editors: H. Hofer, C. H. Taubes, A. Weinstein, and E. Zehnder, Birkhäuser, 1995, pp. 123-183.
2. [AB2] -, Equivariant Floer theory and gluing Donaldson polynomials, Topology 35 (1996), 167-200.
3. [APS] M. F. Atiyah, V. K. Patodi, and I. M. Singer, Spectral asymmetry and Riemannian geometry. III, Math. Proc. Camb. Phil. Soc. 79 (1976).
4. [D1] S. K. Donaldson, An application of gauge theory to four dimensional topology, J. Diff. Geom. 18 (1983), 279-315.
5. [D2] -, The orientation of Yang-Mills moduli spaces and 4-manifold topology, J. Diff. Geom. 26 (1987), 397-428.
6. [D3] -, The Seiberg-Witten equations and 4-manifold topology, Bull. Amer. Math. Soc. 33 (1996), 45-70.
7. [DF] S. K. Donaldson and M. Furuta, Floer homology groups in Yang-Mills theory, In preparation.
8. [DK] S. K. Donaldson and P. B. Kronheimer, The geometry of four-manifolds, Oxford University Press, 1990.
9. n lattice, Math. Res. Lett. 2 (1995), 321-326.
10. [E2] -, Lattices and codes with long shadows, Math. Res. Lett. 2 (1995), 643-651.
11. [F1] K. A. Frøyshov, On Floer homology and four-manifolds with boundary, D.Phil. Thesis, Oxford, 1995.
12. [F2] -, In preparation.
13. [FS] R. Fintushel and R. J. Stern, SO(3)-connections and the topology of 4-manifolds, J. Diff. Geom. 20 (1984), 523-539.
14. [FU] D. S. Freed and K. K. Uhlenbeck, Instantons and four-manifolds, Second edition, Springer-Verlag, 1991.
15. [H] N. Hitchin, Harmonic spinors, Adv. in Maths. 14 (1974), 1-55.
16. [K1] P. B. Kronheimer, The construction of ALE spaces as hyper-kähler quotients, J. Diff. Geom. 29 (1989), 665-683.
17. [K2] -, A Torelli-type theorem for gravitational instantons, J. Diff. Geom. 29 (1989), 685-697.
18. [KM] P. B. Kronheimer and T. S. Mrowka, The genus of embedded surfaces in the protective plane, Math. Res. Lett. 1 (1994), 797-808.
19. [LM] R. B. Lockhart and R. C. McOwen, Elliptic differential operators on non-compact manifolds, Ann. Scuola Norm. Sup. Pisa 12 Ser. 4 (1985), 409-447.
20. [T1] C. H. Taubes, Gauge theory on asymptotically periodic 4-manifolds, J. Diff. Geom. 25 (1987), 363-430.
21. [T2] -, The Seiberg-Witten and Gromov invariants, Math. Res. Lett. 2 (1995), 221-238.
22. [W] E. Witten, Monopoles and four-manifolds, Math. Res. Lett. 1 (1994), 769-796.