No Access

ON A THEORY OF CHERN CLASSES FOR SUPER VECTOR BUNDLES

S. VARSAIE

Institute for Advanced Studies in Basic Sciences, P. O. Box 45195-1159, Gava-Zang, Zanjan, Iran

https://doi.org/10.1142/S0219887808002771Cited by:1 (Source: Crossref)

Abstract

In this paper, a theory of characteristic classes for super vector bundles over is studied. Some properties of even and odd Chern classes, constructed in this theory, are established. At last, the relevance of the theory to supergeometry is discussed.

Keywords:

AMSC: 58A50, 58C50

References

U. Bruzzo and D. H. Ruiperez, J. Math. Phys. 30, 1233 (1989), DOI: 10.1063/1.528606. Crossref, Web of Science, Google Scholar
A. Roger, Commun. Math. Phys. 105, 375 (1986). Crossref, Web of Science, Google Scholar
F. Hirzebruch , Topological Methods in Algebraic Geometry ( Springer , Berlin , 1966 ) . Crossref, Google Scholar
C. Bartocci , U. Bruzzo and D. H. Ruiperez , The Geometry of Supermanifolds ( Springer-Verlag , London , 1991 ) . Crossref, Google Scholar
Yu. I. Manin , Gauge Field Theory and Complex Geometry ( Springer , Berlin , 1988 ) . Google Scholar
S. S. Chern , Complex Manifolds Without Potential Theory ( Van Nostrand , Princeton , 1967 ) . Google Scholar
Yu. I. Manin and I. B. Penkov, Lectures on Supermanifolds, Geometrical Methods of Conformal Groups (World Scientific, 1989) p. 3. Google Scholar