Lawson homology

General Introduction
See also Morphic cohomology
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Search results
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Online References
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
dos Santos on Lawson homology for real varieties
Lawson homology for abelian varieties: http://front.math.ucdavis.edu/1110.3505
Teh on motivic integration and algebraic cycles
arXiv:0912.0727 Lawson Homology for projective varieties with C^action from arXiv Front: math.AG by Wenchuan Hu The Lawson homology of a smooth projective variety with a $\C^$action is given in terms of that of the fixed point set of this action. We also consider such a decomposition for the Lawson homology of certain singular projective varieties with a $\C^*$action. As applications, we calculate the Lawson homology and higher Chow groups for several examples.
arXiv:1101.4990 On Hard Lefschetz Conjecture on Lawson Homology from arXiv Front: math.AG by Ze Xu Friedlander and Mazur proposed a conjecture of hard Lefschetz type on Lawson homology. We shall relate this conjecture to Suslin conjecture on Lawson homology. For abelian varieties, this conjecture is shown to be equivalent to a vanishing conjecture of Beauville type on Lawson homology. For symmetric products of curves, we show that this conjecture amounts to the vanishing conjecture of Beauville type for the Jacobians of the corresponding curves. As a consequence, Suslin conjecture holds for all symmetric products of curves with genus at most 2.
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