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Algebraic cobordism | | Marc Levine
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16 Apr 2003 | | Journal: | Proceedings of the ICM, Beijing 2002, vol. 2, 57--66 | | Subject: | K-Theory and Homology MSC-class: 19E15, 14C99, 14C25 | math.KT | | Abstract: | Together with F. Morel, we have constructed in cite{CR, Cobord1, Cobord2} a theory of {em algebraic cobordism}, an algebro-geometric version of the topological theory of complex cobordism. In this paper, we give a survey of the construction and main results of this theory; in the final section, we propose a candidate for a theory of higher algebraic cobordism, which hopefully agrees with the cohomology theory represented by the $P^1$-spectrum $MGL$ in the Morel-Voevodsky stable homotopy category. | | Source: | arXiv, math.KT/0304206 | | Services: | Forum | Review | PDF | Favorites | |
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