Standard

Traces in oriented homology theories of algebraic varieties. / Pimenov, K.

In: St. Petersburg Mathematical Journal, Vol. 19, No. 5, 01.01.2008, p. 805-828.

Research output: Contribution to journal › Article › peer-review

Harvard

Pimenov, K 2008, 'Traces in oriented homology theories of algebraic varieties', St. Petersburg Mathematical Journal, vol. 19, no. 5, pp. 805-828. https://doi.org/10.1090/S1061-0022-08-01022-4

APA

Pimenov, K. (2008). Traces in oriented homology theories of algebraic varieties. St. Petersburg Mathematical Journal, 19(5), 805-828. https://doi.org/10.1090/S1061-0022-08-01022-4

Vancouver

Pimenov K. Traces in oriented homology theories of algebraic varieties. St. Petersburg Mathematical Journal. 2008 Jan 1;19(5):805-828. https://doi.org/10.1090/S1061-0022-08-01022-4

Author

Pimenov, K. / Traces in oriented homology theories of algebraic varieties. In: St. Petersburg Mathematical Journal. 2008 ; Vol. 19, No. 5. pp. 805-828.

BibTeX

@article{fa5963672abb4cc69e3ae726814ad48e,
title = "Traces in oriented homology theories of algebraic varieties",
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, Homology theory, Orientation, Thom isomorphism",
author = "K. Pimenov",
year = "2008",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-08-01022-4",
language = "English",
volume = "19",
pages = "805--828",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Traces in oriented homology theories of algebraic varieties

AU - Pimenov, K.

PY - 2008/1/1

Y1 - 2008/1/1

N2 - 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.

AB - 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.

KW - Chern class

KW - Homology theory

KW - Orientation

KW - Thom isomorphism

UR - http://www.scopus.com/inward/record.url?scp=85009809483&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-08-01022-4

DO - 10.1090/S1061-0022-08-01022-4

M3 - Article

AN - SCOPUS:85009809483

VL - 19

SP - 805

EP - 828

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 5

ER -

ID: 36910448