Algebraic cobordism

dc.creatorLevine, Marc
dc.date2003-04-15
dc.date.accessioned2026-07-07T04:56:55Z
dc.date.available2026-07-07T04:56:55Z
dc.descriptionTogether 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 $¶^1$-spectrum $MGL$ in the Morel-Voevodsky stable homotopy category.
dc.identifierhttps://arxiv.org/abs/math/0304206
dc.identifierhttp://arxiv.org/abs/math/0304206
dc.identifierProceedings of the ICM, Beijing 2002, vol. 2, 57--66
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67093
dc.subjectK-Theory and Homology
dc.subject19E15, 14C99, 14C25
dc.titleAlgebraic cobordism
dc.typetext

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