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Mishchenko and Quillen formulas for oriented cohomology pretheories
Author(s):
E.
Shinder
Translated by:
B. M. Bekker
Original publication:
Algebra i Analiz,
tom 18
(2006),
nomer 4.
Journal:
St. Petersburg Math. J.
18
(2007),
671-678.
MSC (2000):
Primary 14F43
Posted:
May 29, 2007
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Abstract:
Two formulas mentioned in the title are generalized to arbitrary oriented cohomology pretheories on algebraic varieties.
References:
-
- [Har]
- R. Hartshorne, Algebraic geometry, Grad. Texts in Math., No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157 (57:3116)
- [P1]
- I. Panin, Push-forwards in oriented cohomology theories of algebraic varieties. II, http://www. math.uiuc.edu/K-theory/0619/2003.
- [PS]
- I. Panin and A. Smirnov, Push-forwards in oriented cohomology theories of algebraic varieties, http://www.math.uiuc.edu/K-theory/0459/2000.
- [Pa]
- I. Panin, Riemann-Roch theorems for oriented cohomology, Axiomatic, Enriched, and Motivic Homotopy Theory, NATO Sci. Ser. II Math. Phys. Chem., vol. 131, Kluwer Acad. Publ., Dordrecht, 2004, pp. 261-333. MR 2061857 (2005g:14025)
- [Qu1]
- D. Quillen, On the formal group laws of unoriented and complex cobordism theory, Bull. Amer. Math. Soc. 75 (1969), 1293-1298. MR 0253350 (40:6565)
- [N]
- S. P. Novikov, Methods of algebraic topology from the point of view of cobordism theory, Izv. Akad. Nauk SSSR Ser. Mat. 31 (1967), no. 4, 855-951; English transl. in USSR-Izv. 1 (1967). MR 0221509 (36:4561)
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Additional Information:
E.
Shinder
Affiliation:
Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskii Prospect 28, Staryi Peterhof, St. Petersburg 198904, Russia
Email:
shinder@list.ru
DOI:
10.1090/S1061-0022-07-00966-1
PII:
S 1061-0022(07)00966-1
Keywords:
Complex cobordism theory,
oriented cohomology pretheory,
Quillen's formula
Received by editor(s):
22/FEB/2006
Posted:
May 29, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
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