Semi-topological cycle theory I
Algebraic Geometry
2012-01-04 v2 K-Theory and Homology
Abstract
We study algebraic varieties parametrized by topological spaces and enlarge the domains of Lawson homology and morphic cohomology to this category. We prove a Lawson suspension theorem and splitting theorem. A version of Friedlander-Lawson moving is obtained to prove a duality theorem between Lawson homology and morphic for smooth semi-topological projective varieties. K-groups for semi-topological projective varieties and Chern classes are also constructed.
Cite
@article{arxiv.1001.2355,
title = {Semi-topological cycle theory I},
author = {J. H. Teh},
journal= {arXiv preprint arXiv:1001.2355},
year = {2012}
}
Comments
11 pages