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Bigraded invariants for
real curves
Pedro F dos Santos and Paulo Lima-Filho |
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Algebraic & Geometric Topology 14 (2014) 2809–2852
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Abstract |
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For a proper smooth real algebraic curve we compute the ring structure of both its ordinary bigraded –equivariant cohomology [Bull. Amer. Math. Soc. 4 (1981) 208–212] and its integral Deligne cohomology for real varieties [Math. Ann. 350 (2011) 973–1022]. These rings reflect both the equivariant topology and the real algebraic structure of and they are recipients of natural transformations from motivic cohomology. We conjecture that they completely detect the motivic torsion classes. |
Keywords
equivariant cohomology, Deligne cohomology, real varieties,
real curves
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Mathematical Subject Classification 2010
Primary: 55N91
Secondary: 14P25
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References |
Publication
Received: 2 August 2013
Revised: 14 January 2014
Accepted: 5 February 2014
Published: 6 November 2014
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Authors |
| Pedro F dos Santos | |
| Departamento de Matemática Instituto Superior Técnico Universidade de Lisboa Avenida Rovisco Pais 1049-001 Lisboa Portugal |
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| http://www.math.tecnico.ulisboa.pt/~pedfs | |
| Paulo Lima-Filho | |
| Department of Mathematics Texas A&M University Mailstop 3368 College Station, TX 77843 USA |
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| http://www.math.tamu.edu/~plfilho | |
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