Traces in oriented homology theories of algebraic varieties

Pimenov, K.

doi:10.1090/S1061-0022-08-01022-4

Traces in oriented homology theories of algebraic varieties
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by 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.

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