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Traces in oriented homology theories of algebraic varieties
Author(s):
K.
Pimenov
Translated by:
the author
Original publication:
Algebra i Analiz,
tom 19
(2007),
nomer 5.
Journal:
St. Petersburg Math. J.
19
(2008),
805-828.
MSC (2000):
Primary 14F43
Posted:
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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Additional Information:
K.
Pimenov
Affiliation:
St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
Email:
kip302002@yahoo.com
DOI:
10.1090/S1061-0022-08-01022-4
PII:
S 1061-0022(08)01022-4
Keywords:
Chern class,
Thom isomorphism,
orientation,
homology theory
Received by editor(s):
10/APR/2007
Posted:
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)
Dedicated:
Dedicated to the centenary of the birth of Dmitriĭ Konstantinovich Faddeev
Copyright of article:
Copyright
2008,
American Mathematical Society
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