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Algebra i Analiz, 2007, Volume 19, Issue 5, Pages 179–213 (Mi aa141)  
Research Papers

Traces in oriented homology theories of algebraic varieties

K. I. Pimenov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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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.
Keywords: Chern class, Thom isomorphism, orientation, homology theory.
Received: 10.04.2007
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 5, Pages 805–828
DOI: https://doi.org/10.1090/S1061-0022-08-01022-4
Bibliographic databases:
Document Type: Article
MSC: 4F43
Language: Russian
Citation: K. I. Pimenov, “Traces in oriented homology theories of algebraic varieties”, Algebra i Analiz, 19:5 (2007), 179–213; St. Petersburg Math. J., 19:5 (2008), 805–828
Citation in format AMSBIB
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\by K.~I.~Pimenov
\paper Traces in oriented homology theories of algebraic varieties
\jour Algebra i Analiz
\yr 2007
\vol 19
\issue 5
\pages 179--213
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2381946}
\zmath{https://zbmath.org/?q=an:1206.14043}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 5
\pages 805--828
\crossref{https://doi.org/10.1090/S1061-0022-08-01022-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267421000008}
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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