Long range forces and topology of instanton moduli spaces
Colloque en l'honneur de Laurent Schwartz (Volume 2), Astérisque, no. 132 (1985), pp. 243-255.
@incollection{AST_1985__132__243_0,
     author = {Taubes, Clifford Henry},
     title = {Long range forces and topology of instanton moduli spaces},
     booktitle = {Colloque en l'honneur de Laurent Schwartz (Volume 2)},
     series = {Ast\'erisque},
     pages = {243--255},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {132},
     year = {1985},
     mrnumber = {816770},
     zbl = {0604.58056},
     language = {en},
     url = {http://www.numdam.org/item/AST_1985__132__243_0/}
}
TY  - CHAP
AU  - Taubes, Clifford Henry
TI  - Long range forces and topology of instanton moduli spaces
BT  - Colloque en l'honneur de Laurent Schwartz (Volume 2)
AU  - Collectif
T3  - Astérisque
PY  - 1985
SP  - 243
EP  - 255
IS  - 132
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/AST_1985__132__243_0/
LA  - en
ID  - AST_1985__132__243_0
ER  - 
%0 Book Section
%A Taubes, Clifford Henry
%T Long range forces and topology of instanton moduli spaces
%B Colloque en l'honneur de Laurent Schwartz (Volume 2)
%A Collectif
%S Astérisque
%D 1985
%P 243-255
%N 132
%I Société mathématique de France
%U http://www.numdam.org/item/AST_1985__132__243_0/
%G en
%F AST_1985__132__243_0
Taubes, Clifford Henry. Long range forces and topology of instanton moduli spaces, in Colloque en l'honneur de Laurent Schwartz (Volume 2), Astérisque, no. 132 (1985), pp. 243-255. http://www.numdam.org/item/AST_1985__132__243_0/

1. M. F. Atiyah and R. Bott, "The Yang-Mills equations over Riemann surfaces," Phil. Trans. Roy. Soc. Lond. A308 , 523 (1982). | MR | Zbl

2. M. F. Atiyah, N. J. Hitchin and I. M. Singer, "Self-duality in 4 -dimensional Riemannian geometry," Proc. Roy. Soc. A362 , 425 (1976) | MR | Zbl

3. M. F. Atiyah and J. D. S. Jones, "Topological aspects of Yang-Mills theory," Comm. Math. Phys. 61, 97 (1978). | MR | Zbl

4. M. Berger, Nonlinearity and Functional Analysis, Academic Press, New York (1977). | MR | Zbl

5. J.-P. Bourguignon and H. B. Lawson, Jr., "Yang-Mills theory, its physical origin and differential geometric aspects," in Seminar on Differential Geometry, S.T. Yau, ed., Annals of Math. Studies 102, Princeton, (1982). | MR | Zbl

6. J.-P. Bourguignon, H. B. Lawson, Jr. and J. Simons, "Stability and gap phenomena for Yang-Mills fields," Proc. Natl. Acad. Sci., USA 76, 1550 (1979). | MR | Zbl

7. H. Brezis and M. Coron, "Multiple solutions of H-systems and Rellich's conjecture," Comm. Pure. Appl. Math., to appear. | MR | Zbl

8. H. Brezis and M. Coron, "Large solutions for harmonic maps in two dimensions", preprint. | DOI | MR | Zbl

9. H. Brezis and L. Nirenberg, "Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents," Comm. Pure Appl. Math., to appear. | MR | Zbl

10. S. K. Donaldson, "An application of gauge theory to the topology of 4-manifolds," J. Diff. Geo., to appear. | MR | Zbl

See also, S. K. Donaldson, "The Yang-Mills equations over Kähler manifolds," Thesis, Oxford University (1983).

11. D. Freed, M. Freedman and K. K. Uhlenbeck, "Gauge theories and 4-manifolds," MSRI Berkeley preprint.

12. R. Hartshorne, "Stable vector bundles and instantons," Comm. Math. Phys. 59, 1 (1978). | DOI | MR | Zbl

13. L. L. Ljusternik, Topology of the Calculus of Variations in the Large, (Amer. Math. Soc. Transl. 16) , Providence R.I., | MR | Zbl

L. L. Ljusternik, Topology of the Calculus of Variations in the Large Amer. Math. Soc. (1966). | MR

14. W. Meeks and S. T. Yau, "The topology of three-dimensional manifolds, and the embedding problems in minimal surface theory," Ann. of Math 112, 441 (1980). | MR | Zbl

15. R. S. Palais, "Ljusternik-Snirelman theory on Banach manifolds," Topology 5, 115 (1966). | MR | Zbl

16. T. Parker, "Gauge theories on four-dimensional Riemannian manifolds," Comm. Math. Phys. 85, 1 (1982). | MR | Zbl

17. J. Sacks and K. K. Uhlenbeck, "The existence of minimal 2-spheres, Ann. Math. 113, 1 (1981). | DOI | MR | Zbl

18. S. Sedlacek, "A direct method for minimizing the Yang-Mills functional over 4-manifolds", Comm. Math. Phys. 86, 515 (1982). | MR | Zbl

19. I. M. Singer, "Some remarks on the Gribov amgibuity," Comm. Math. Phys. 60, 7 (1978). | MR | Zbl

20. Y. T. Siu and S. T. Yau, "Compact Kähler manifolds of positive bisectional curvature," Inven. Math. 59, 189 (1980). | EuDML | MR | Zbl

21. C. H. Taubes, "The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on 𝐑 3 ", Part 1 in Comm. Math. Phys. 86 , 277 (1982) | MR | Zbl

C. H. Taubes, The existence of a non-minimal solution to the S U ( 2 ) Yang-Mills-Higgs equations on 𝐑 3 Part II in Comm. Math. Phys. 86, 299 (1982). | MR | Zbl

22. C. H. Taubes, "Path connectivity of self-dual moduli spaces," in preparation.

23. C. H. Taubes, "Stability in Yang-Mills theories," Comm. Math. Phys., to appear. | MR | Zbl

24. C. H. Taubes, "Self-dual connections on non-self-dual 4-manifolds," J. Diff. Geo. 17, 139 (1982). | MR | Zbl

25. K. K. Uhlenbeck, "Connections with L P -bounds on curvature," Comm. Math. Phys. 83, 31 (1982). | MR | Zbl

26. K. K. Uhlenbeck, "Removable singularities in Yang-Mills fields," Comm. Math. Phys. 83, 11 (1982). | MR | Zbl