A note on characteristic classes

Jianwei Zhou

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 2, page 721-732
  • ISSN: 0011-4642

Abstract

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This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.

How to cite

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Zhou, Jianwei. "A note on characteristic classes." Czechoslovak Mathematical Journal 56.2 (2006): 721-732. <http://eudml.org/doc/31062>.

@article{Zhou2006,
abstract = {This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.},
author = {Zhou, Jianwei},
journal = {Czechoslovak Mathematical Journal},
keywords = {fibre bundle; characteristic class; transgression; Poincaré dual; fibre bundle; characteristic class; transgression; Poincaré dual},
language = {eng},
number = {2},
pages = {721-732},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on characteristic classes},
url = {http://eudml.org/doc/31062},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Zhou, Jianwei
TI - A note on characteristic classes
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 721
EP - 732
AB - This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.
LA - eng
KW - fibre bundle; characteristic class; transgression; Poincaré dual; fibre bundle; characteristic class; transgression; Poincaré dual
UR - http://eudml.org/doc/31062
ER -

References

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  5. 10.1007/BF02960745, Abh. Math. Sem. Univ. Hamburg 20 (1955), 117–162. (1955) MR0075647DOI10.1007/BF02960745
  6. Principles of Algebraic Geometry, Wiley-Interscience, New York, 1978. (1978) MR0507725
  7. Foundations of Differential Geometry, Vol.  2, Interscience Publishers, New York, 1969. (1969) 
  8. Spin Geometry, Princeton University Press, Princeton, 1989. (1989) MR1031992
  9. 10.1016/0040-9383(86)90007-8, Topology 25 (1986), 85–110. (1986) MR0836726DOI10.1016/0040-9383(86)90007-8
  10. Characteristic Classes. Ann. of Math. Studies, No.  76, Princeton University Press, Princeton, 1974. (1974) MR0440554

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