Mishchenko and Quillen formulas for oriented cohomology pretheories
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E. Shinder
Translated by: B. M. Bekker - St. Petersburg Math. J. 18 (2007), 671-678
- DOI: https://doi.org/10.1090/S1061-0022-07-00966-1
- Published electronically: 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
- Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157
- I. Panin, Push-forwards in oriented cohomology theories of algebraic varieties. II, http://www. math.uiuc.edu/K-theory/0619/2003.
- I. Panin and A. Smirnov, Push-forwards in oriented cohomology theories of algebraic varieties, http://www.math.uiuc.edu/K-theory/0459/2000.
- 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, DOI 10.1007/978-94-007-0948-5_{8}
- Daniel Quillen, On the formal group laws of unoriented and complex cobordism theory, Bull. Amer. Math. Soc. 75 (1969), 1293–1298. MR 253350, DOI 10.1090/S0002-9904-1969-12401-8
- S. P. Novikov, Methods of algebraic topology from the point of view of cobordism theory, Izv. Akad. Nauk SSSR Ser. Mat. 31 (1967), 855–951 (Russian). MR 0221509
Bibliographic Information
- E. Shinder
- Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Prospect 28, Staryĭ Peterhof, St. Petersburg 198904, Russia
- Email: shinder@list.ru
- Received by editor(s): February 22, 2006
- Published electronically: May 29, 2007
- © Copyright 2007 American Mathematical Society
- Journal: St. Petersburg Math. J. 18 (2007), 671-678
- MSC (2000): Primary 14F43
- DOI: https://doi.org/10.1090/S1061-0022-07-00966-1
- MathSciNet review: 2262589