Semi-topological cycle theory I

J. H. Teh

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arXiv · 1001.2355

Semi-topological cycle theory I

J. H. Teh

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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.

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BibTeX RIS

J. H. Teh. 2012-01-03. Semi-topological cycle theory I. https://arxiv.org/abs/1001.2355

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