Curvature forms with singularities and non-integral characteristic classes

Andersson, S.I.: Vector bundle connections and lifting of partial differential operators, Differential Geometric methods in Mathematical Physics, Clausthal, 1980, Lecture Notes in Math., 905, 119–132, Berlin, 1982
Article Google Scholar
Asada, A.: Connection of differential operators, J.Fac.Sci. Shinshu Univ., 13 (1978), 87–102
MathSciNet MATH Google Scholar
Asada, A.: Flat connections of differential operators and odd dimensional characteristic classes, J.Fac.Sci.Shinshu Univ., 17 (1982), 1–30
MathSciNet MATH Google Scholar
Atiyah, M.F.: Complex analytic connections in fibre bundles, Trans.Amer.Math.Soc., 85 (1957), 181–207
Article MathSciNet MATH Google Scholar
Dedecker, P.: Sur la cohomologie non abélienne, I,II, Canad.J.Math., 12 (1960), 231–251, 15 (1963), 84–93
Article MathSciNet MATH Google Scholar
Dupont, J.L.: Curvature and Characteristic Classes, Lecture Notes in Math., 640, Berlin, 1978
Google Scholar
Flaschka, H.-Newell, A.C.: Monodromy-and spectrum-preserving deformations, I, Commun.Math.Phys., 76 (1980), 65–116
Article MathSciNet MATH Google Scholar
Gaveau, B.: Intégrals harmoniques non abéliennes, Bull.Soc.math., 2^e series 106 (1982), 113–169
MathSciNet MATH Google Scholar
Manin, Yu.I.: Gauge fields and cohomology of analytic sheaves, Twistor Geometry and Non-Linear Systems, Primosko, 1980, Lecture Notes in Math., 970, 43–52, Berlin, 1982
Article MathSciNet Google Scholar
Oniscik, A.: On the classification of fibre spaces, Sov.Math. Doklady, 2 (1961), 1561–1564
MathSciNet Google Scholar
Oniscik, A.: Connections with zero curvature and de Rham theorem, Sov.Math.Doklady, 5 (1964), 1654–1657
MathSciNet Google Scholar
Schaposnik, F.A.-Solomin, J.E.: Gauge field singularities and noninteger topological charge, J.Math.Phys., 20 (1979), 2110–2114.
Article MathSciNet Google Scholar

Download references

Author information

Authors and Affiliations

Department of Mathematics, Shinshu University, Matsumoto, Nagano Pref., Japan
Akira Asada

Authors

Akira Asada
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Heinz-Dietrich Doebner Jörg-Dieter Hennig

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Asada, A. (1985). Curvature forms with singularities and non-integral characteristic classes. In: Doebner, HD., Hennig, JD. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 1139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074582

Download citation

DOI: https://doi.org/10.1007/BFb0074582
Published: 15 September 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15666-6
Online ISBN: 978-3-540-39585-0
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Curvature forms with singularities and non-integral characteristic classes

Access this chapter

Preview

References