Gysin homomorphism in generalized cohomology theories
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A. A. Solynin
Translated by: B. Bekker - St. Petersburg Math. J. 17 (2006), 511-525
- DOI: https://doi.org/10.1090/S1061-0022-06-00918-6
- Published electronically: March 21, 2006
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Abstract:
Detailed proofs of three formulas announced by Panin and Smirnov are elaborated upon.References
- John W. Milnor and James D. Stasheff, Characteristic classes, Annals of Mathematics Studies, No. 76, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. MR 0440554
- Robert E. Stong, Notes on cobordism theory, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. Mathematical notes. MR 0248858
- A. T. Fomenko and D. B. Fuks, Kurs gomotopicheskoĭ topologii, “Nauka”, Moscow, 1989 (Russian). With an English summary. MR 1027592
- Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157
- 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}
- 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, Push-forwards in oriented cohomology theories of algebraic varieties. II, Preprint POMI no. 17, 2002.
- Alexander Grothendieck, La théorie des classes de Chern, Bull. Soc. Math. France 86 (1958), 137–154 (French). MR 116023
- Armand Borel and Jean-Pierre Serre, Le théorème de Riemann-Roch, Bull. Soc. Math. France 86 (1958), 97–136 (French). MR 116022
- William Fulton, Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 2, Springer-Verlag, Berlin, 1984. MR 732620, DOI 10.1007/978-3-662-02421-8
- J. P. Jouanolou, Une suite exacte de Mayer-Vietoris en $K$-théorie algébrique, Algebraic $K$-theory, I: Higher $K$-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Lecture Notes in Math., Vol. 341, Springer, Berlin, 1973, pp. 293–316 (French). MR 0409476
- I. Panin, Oriented cohomology theories of algebraic varieties, $K$-Theory 30 (2003), no. 3, 265–314. Special issue in honor of Hyman Bass on his seventieth birthday. Part III. MR 2064242, DOI 10.1023/B:KTHE.0000019788.33790.cb
Bibliographic Information
- A. A. Solynin
- Email: a_solynin@mail.ru
- Received by editor(s): September 18, 2004
- Published electronically: March 21, 2006
- © Copyright 2006 American Mathematical Society
- Journal: St. Petersburg Math. J. 17 (2006), 511-525
- MSC (2000): Primary 14F20
- DOI: https://doi.org/10.1090/S1061-0022-06-00918-6
- MathSciNet review: 2167850