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• W2113192089 abstract "We establish the analogue of the Friedlander-Mazur conjecture for Teh's reduced Lawson homology groups of real varieties, which says that the reduced Lawson homology of a real quasi-projective variety $X$ vanishes in homological degrees larger than the dimension of $X$ in all weights. As an application we obtain a vanishing of homotopy groups of the mod-$2$ topological groups of averaged cycles and a characterization in a range of indices of dos Santos' real Lawson homology as the homotopy groups of the topological group of averaged cycles. We also establish an equivariant Poincare duality between equivariant Friedlander-Walker real morphic cohomology and dos Santos' real Lawson homology. We use this together with an equivariant extension of the mod-$2$ Beilinson-Lichtenbaum conjecture to compute some real Lawson homology groups in terms of Bredon cohomology." @default.
• W2113192089 created "2016-06-24" @default.
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• W2113192089 creator A5072210661 @default.
• W2113192089 date "2012-01-01" @default.
• W2113192089 modified "2023-10-17" @default.
• W2113192089 title "Vanishing theorems for real algebraic cycles" @default.
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• W2113192089 doi "https://doi.org/10.1353/ajm.2012.0022" @default.
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