Skip to main content
Log in

Moduli spaces over manifolds with involutions

  • Published:
Mathematische Annalen 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

  1. Aronszajn, N.: A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of the second order. J. Math. Pures Appl.36, 235–249 (1957)

    Google Scholar 

  2. Atiyah, M.F., Hitchin, N., Singer, I.: Self-duality in four-dimensional Riemannian geometry. Proc. R. Soc. Lond.A362, 425–461 (1978)

    Google Scholar 

  3. Barth, W.: Moduli of vector bundles on the projective plane. Invent. Math.42, 63–91 (1977)

    Google Scholar 

  4. Buchdahl, N.: Instantons onCP 2. J. Differ. Geom.24, 19–52 (1986)

    Google Scholar 

  5. Cho, Y.S.: Finite group action on the moduli space of self-dual connections I. Trans. Am. Math. Soc.323, 233–262 (1991)

    Google Scholar 

  6. Conner, P.E., Floyd, E.E.: Differentiable periodic maps. Berlin Heidelberg New York Springer 1963

    Google Scholar 

  7. Donaldson, S.K.: Yang-Mills invariants of four-manifolds. In: Donaldson S.K., Thomas, C.B. (eds.) Geometry of low-dimensional manifolds, vol 1, pp. 5–41. Cambridge: Cambridge University Press 1990

    Google Scholar 

  8. Donaldson, S.K., Friedman, R.: Connected sums of self-dual manifolds and deformations of singular spaces. Nonlinearity2, 197–239 (1989)

    Google Scholar 

  9. Donaldson, S.K., Kronheimer, P.: The Geometry of four manifolds. Oxford: Oxford University Press 1990

    Google Scholar 

  10. Donaldson, S.K., Sullivan, D.: Quasiconformal 4-manifolds. Acta Math.163, 181–252 (1989)

    Google Scholar 

  11. Earle, C.J.: On the moduli of closed Riemann surfaces with symmetries. In: Ahlfors, L.V. et al. (eds.) Advances in the theory of Riemann surfaces, pp. 119–130. Princeton: Princeton University Press 1971

    Google Scholar 

  12. Fintushel, R., Stern, R.: Psudofree orbifolds. Ann. Math.122, 335–364 (1985)

    Google Scholar 

  13. Freed, D., Uhlenbeck, K.K.: Instantons and 4-manifolds. Publ., Math. Sci. Res. Inst., vol. 1) Berlin Heidelberg New York: Springer 1984

    Google Scholar 

  14. Hartshorne, R.: Stable rank-2 bundles and instantons. Commun. Math. Phys.59, 1–15 (1978)

    Google Scholar 

  15. Hirzebruch, F.: The signature of ramified coverings. In: Spencer, D.C., Iyanaga, S. (eds.) Global analysis in honor of K. Kodaira, pp. 253–266. Princeton: Tokyo and Princeton University Presses 1969

    Google Scholar 

  16. Kronheimer, P.: Embedded surfaces in 4-manifolds. In: Proc. of the Int. Congr. of Mathematicians, Koyota 1990. Berlin Heidelberg New York: Springer, 1992

    Google Scholar 

  17. Kronheimer, P., Mrowka, T.: Gauge theory for embedded surfaces, I. (to appear)

  18. Massey, W.: The quotient space of the complex projective plane under the conjugation is a 4-sphere. Geom. Dedicata2, 371–374 (1973)

    Google Scholar 

  19. Mong, K.C.: Some differential invariants of 4-manifolds. D. Phil. Thesis. Oxford University (1988)

  20. Seppälä, M.: Quotients of complex manifolds and moduli spaces of Klein surfaces. Ann. Acad. Sci. Fenn.6, 113–124 (1981)

    Google Scholar 

  21. Sibner, L.M., Sibner, R.J. Classification of singular Sobolev spaces by their holonomy. Commun. Math. Phys.144, 337–350 (1992)

    Google Scholar 

  22. Soberon-Chavez, S.: Rank-2 vector bundles over a complex quadric surface. Q. J. Math., Oxf.36, 159–172 (1985)

    Google Scholar 

  23. Teleman, N.: The index of signature operators on Lipschitz manifolds. Publ. Math., Inst. Hautes Étud. Sci.58, 117–152 (1984)

    Google Scholar 

  24. Taubes, C.: Self-dual connections on manifolds with indefinite intersection matrix. J. Differ. Geom.19, 517–560 (1984)

    Google Scholar 

  25. Uhlenbeck, K.K.: Connections withL p bounds on curvature. Commun. Math. Phys.83, 31–42 (1982)

    Google Scholar 

  26. Wang, S.: Gauge theory and involutions. D. Phil. Thesis. Oxford University (1990)

Download references

Author information

Authors and Affiliations

Authors

Additional information

Most of the work was carried out under the support of K.C. Wong Education Foundation Ltd.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, S. Moduli spaces over manifolds with involutions. Math. Ann. 296, 119–138 (1993). https://doi.org/10.1007/BF01445098

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01445098

Mathematics Subject Classification (1991)

Navigation