Mishchenko and Quillen formulas for oriented cohomology pretheories
Algebra i analiz, Tome 18 (2006) no. 4, pp. 215-224.

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Two formulas mentioned in the title are generalized to arbitrary oriented cohomology pretheories on algebraic varieties.
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E. Shinder. Mishchenko and Quillen formulas for oriented cohomology pretheories. Algebra i analiz, Tome 18 (2006) no. 4, pp. 215-224. http://geodesic.mathdoc.fr/item/AA_2006_18_4_a8/

[1] R. Hartshorne, Algebraic geometry, Grad. Texts in Math., 52, Springer-Verlag, New York, 1977 | MR | Zbl

[2] I. Panin, Push-forwards in Oriented Cohomology Theories of Algebraic Varieties, II, http://www.math.uiuc.edu/K-theory/0619/2003

[3] I. Panin, A. Smirnov, Push-forwards in Oriented Cohomology Theories of Algebraic Varieties, http://www.math.uiuc.edu/K-theory/0459/2000

[4] I. Panin, “Riemann–Roch Theorems for Oriented Cohomology”, Axiomatic, Enriched, and Motivic Homotopy Theory, NATO Sci. Ser. II Math. Phys. Chem., 131, ed. J. P. C. Greenless, Kluwer Acad. Publ., Netherlands, 2004, 261–333 | MR | Zbl

[5] D. Quillen, “On the formal group laws of unoriented and complex cobordism theory”, Bull. Amer. Math. Soc., 75 (1969), 1293–1298 | DOI | MR | Zbl

[6] S. P. Novikov, “Metody algebraicheskoi topologii s tochki zreniya teorii kobordizmov”, Izv. AN SSSR. Ser. matem., 31:4 (1967), 855–951 | Zbl