Oriented cohomology, Borel-Moore homology, and algebraic cobordism
Marc Levine
Source: Michigan Math. J. Volume 57 (2008), 523-572.
Primary Subjects: 14F43
Secondary Subjects: 55N22
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Permanent link to this document: http://projecteuclid.org/euclid.mmj/1220879423
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05604546
References
S. Bloch and A. Ogus, Gersten's conjecture and the homology of schemes, Ann. Sci. École Norm. Sup. (4) 7 (1974), 181--201.
Mathematical Reviews (MathSciNet):
MR412191
B. I. Dundas, M. Levine, P. A. Østvær, O. Röndigs, and V. Voevodsky, Motivic homotopy theory, Lectures from the summer school held in Nordfjordeid (August, 2002), Springer-Verlag, Berlin, 2007.
Mathematical Reviews (MathSciNet):
MR2334212
W. Fulton, Rational equivalence on singular varieties, Inst. Hautes Études Sci. Publ. Math. 45 (1975), 147--167.
Mathematical Reviews (MathSciNet):
MR404257
Digital Object Identifier: doi:10.1007/BF02684300
J. P. Jouanolou, Une suite exacte de Mayer--Vietoris en $K$-théorie algébrique, Algebraic $K$-theory, I: Higher $K$-theories (Seattle, 1972), Lecture Notes in Math., 341, pp. 293--316, Springer-Verlag, Berlin, 1973.
Mathematical Reviews (MathSciNet):
MR409476
M. Levine, Comparison of cobordism theories, preprint, 2008, $\langle $http://www.math.neu.edu/\~,levine/pub.html$\rangle .$
M. Levine and F. Morel, Algebraic cobordism, Springer Monogr. Math., Springer-Verlag, Berlin, 2007.
Mathematical Reviews (MathSciNet):
MR2286826
M. Mocanasu, Borel--Moore functors and algebraic oriented theories, preprint, 2004, $\langle $http://www.math.uiuc.edu/K-theory/0713/$\rangle .$
F. Morel, An introduction to $\Bbb A^1$-homotopy theory, Contemporary developments in algebraic $K$-theory, ICTP Lect. Notes, 15, pp. 357--441, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2004.
Mathematical Reviews (MathSciNet):
MR2175638
F. Morel and V. Voevodsky, $\Bbb A^1$-homotopy theory of schemes, Inst. Hautes Études Sci. Publ. Math. 90 (1999), 45--143.
Mathematical Reviews (MathSciNet):
MR1813224
Digital Object Identifier: doi:10.1007/BF02698831
I. Panin, Push-forwards in oriented cohomology theories of algebraic varieties II, preprint, 2003, $\langle $http://www.math.uiuc.edu/K-theory/0619/$\rangle .$
Mathematical Reviews (MathSciNet):
MR2064242
Digital Object Identifier: doi:10.1023/B:KTHE.0000019788.33790.cb
I. Panin, K. Pimenov, and O. Röndigs, A universality theorem for Voevodsky's algebraic cobordism spectrum, preprint, 2007, $\langle $http://www.math.uiuc.edu/K-theory/0846/$\rangle .$
V. Voevodsky, $\Bbb A^1$-homotopy theory, Proceedings of the International Congress of Mathematicians, vol. I (Berlin, 1998), Doc. Math. extra vol. I (1998), 579--604.
Mathematical Reviews (MathSciNet):
MR1648048
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