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Bivariant algebraic
cobordism
José Luis González and Kalle Karu |
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Vol. 9 (2015), No. 6, 1293–1336
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Abstract |
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We associate a bivariant theory to any suitable oriented Borel–Moore homology theory on the category of algebraic schemes or the category of algebraic -schemes. Applying this to the theory of algebraic cobordism yields operational cobordism rings and operational -equivariant cobordism rings associated to all schemes in these categories. In the case of toric varieties, the operational -equivariant cobordism ring may be described as the ring of piecewise graded power series on the fan with coefficients in the Lazard ring. |
Keywords
algebraic cobordism, bivariant and operational theories,
operational (equivariant) cobordism, operational
equivariant cobordism of toric varieties
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Mathematical Subject Classification 2010
Primary: 14C17
Secondary: 14C15, 14F43, 14M25, 55N22, 57R85
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Milestones
Received: 28 January 2013
Revised: 21 April 2015
Accepted: 20 May 2015
Published: 7 September 2015
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Authors |
| José Luis González | |
| Department of Mathematics Yale University 10 Hillhouse Avenue New Haven, CT 06511 United States |
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| Kalle Karu | |
| Department of Mathematics University of British Columbia 1984 Mathematics Road Vancouver, BC V6T 1Z2 Canada |
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