Skip to main content
Log in

Asymptotic behavior of theL 2-metric on moduli spaces of Yang-Mills connections

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • [BK] Buser, P. and Karcher, H. Gromove's almost flat manifolds, Astérisque81, 1981

  • [D1] Donaldson, S.K. Connections cohomology and the intersection forms of four manifolds, Journal of Differential Germetry,24, 275–341 (1986)

    MATH  MathSciNet  Google Scholar 

  • [D2] Donaldson, S.K. Compactification and completion of Yang-Mills moduli spaces. Proceeding of the international symposium on Differential geometry, Peniscola, 1988, Lecture Notes in Mathematics,1410 (ed. Carreras et al.) Springer-Verlag, Berlin 1990

    Google Scholar 

  • [DK] Donaldson, S.K. and Kronheimer, P.B. The Geometry of Four-Manifolds, Oxford mathematical monographs, Clarendon Press, Oxford 1990

    Google Scholar 

  • [DMM] Doi, H., Matsumoto, Y. and Matumoto, T. An explicit formula of the metric on the moduli space of BPST-instantons overS 4 A Fete of Topology, Boston, MA, Academic Press 1988

    Google Scholar 

  • [FU] Freed, D.S. and Uhlenbeck, K.K. Instantons and Four-Manifolds, M.S.R.I. Publications, Vol. 1, Springer-Verlag, New York 1984

    MATH  Google Scholar 

  • [GP1] Groisser, D. and Parker, T. The Riemannian geometry of the Yang-Mills moduli space, Communication in Mathematical Physics,112, 663–687 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  • [GP2] Groisser, D. and Parker, T. The geometry of the Yang-Mills moduli space for definite manifolds, Journal of Differential Geometry,29, 499–544 (1989)

    MATH  MathSciNet  Google Scholar 

  • [Ha] Habermann, L. On the geometry of the space ofSp(1) instantons with Pontrjgin index 1 on the 4-sphere, Ann. Global Anal. Diff. Geom.6, 3–29 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  • [Hi] Hitchin, N.J.: The geometry and topology of moduli spaces. Global geometry and mathematical physics, Montecatini Terme, 1988, Lecture Notes in Mathematics,1451 (ed. Francaviglia, M. et. al.) Springer-Verlag, Berlin 1990

    Google Scholar 

  • [JP] Jost, J. and Peng, X.-W. Group actions, gauge transformations, and the calculus of variations, Math. Ann.293, 595–621 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  • [L] Lawson, H.B. The Theory of Gauge Fields in Four Dimensions, CBMS Regional Conference Series in Mathematics, AMS, Providence, RI 1983

  • [T1] Taubes, C.H. Self-dual Yang-Mills connections over non-self-dual-4-manifolds, Journal of Differential Geometry,17, 139–170 (1982)

    MATH  MathSciNet  Google Scholar 

  • [T2] Taubes, C.H. Self-dual connections on manifolds with indefinite intersection matrix, Journal of Differential Geometry19, 517–560 (1984)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Peng, XW. Asymptotic behavior of theL 2-metric on moduli spaces of Yang-Mills connections. Math Z 220, 127–158 (1995). https://doi.org/10.1007/BF02572606

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02572606

Keywords

Navigation