Euler structure and Gysin homomorphism in oriented homology theories
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 15, Tome 343 (2007), pp. 248-271
A. A. Solynin. Euler structure and Gysin homomorphism in oriented homology theories. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 15, Tome 343 (2007), pp. 248-271. http://geodesic.mathdoc.fr/item/ZNSL_2007_343_a10/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

It is proved the homological Self-intersection formula, Grothendieck type formula and Excess-formula for oriented homology theory. Bibliography: 8 titles.

[1] R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, 52, Springer-Verlag, New York-Heidelberg-Berlin, 1977 | MR | Zbl

[2] J. Jouanolou, “Une suite exacte de Mayer–Vietoris en $K$-théorie algebrique”, Algebr. K-Theory I, Lect. Notes Math., 341, 1973, 317–335 | MR | Zbl

[3] I. Panin, Push-forwards in oriented cohomology theories of algebraic varieties, II, Preprint POMI, No 17, 2002 | MR

[4] I. Panin, Riemann-Roch theorem for oriented cohomology, , 2002 http://www.math.uiuc.edu

[5] K. Pimenov, Traces in oriented homology theories of algebraic varieties, , 2003 http://www.math.uiuc.edu | Zbl

[6] I. Panin and A. Smirnov, Push-forwards in oriented cohomology theories of algebraic varieties, , 2000 http://www.math.uiuc.edu

[7] I. Panin, S. Yagunov, Rigidity for orientable functors, MPI-preprint, 2000 | MR

[8] A. A. Solynin, “Gysin homomorphism in extraordinary cohomology theories”, Algebra and Analysis (to appear)