Traces in oriented homology theories of algebraic varieties
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K. Pimenov
Translated by: the author - St. Petersburg Math. J. 19 (2008), 805-828
- DOI: https://doi.org/10.1090/S1061-0022-08-01022-4
- Published electronically: June 27, 2008
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Abstract:
This paper is an attempt to axiomatize the notion of oriented homology theory. Under the axioms in question, a Chern structure determines an orientation and vice versa. The main result of the paper is the projective bundle theorem in §2.References
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Bibliographic Information
- K. Pimenov
- Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
- Email: kip302002@yahoo.com
- Received by editor(s): April 10, 2007
- Published electronically: June 27, 2008
- Additional Notes: Supported by the Russian Ministry of Education (grant no. PD02-1.1-368) and by INTAS (grant no. 05-1000008-8118)
- © Copyright 2008 American Mathematical Society
- Journal: St. Petersburg Math. J. 19 (2008), 805-828
- MSC (2000): Primary 14F43
- DOI: https://doi.org/10.1090/S1061-0022-08-01022-4
- MathSciNet review: 2381946
Dedicated: Dedicated to the centenary of the birth of Dmitriĭ Konstantinovich Faddeev