Remarks on filtrations of the homology of real varieties

Jeremiah Heller, Mircea Voineagu

Research output: Contribution to journalArticle

Abstract

We demonstrate that a conjecture of Teh which relates the niveau filtration on Borel-Moore homology of real varieties and the images of generalized cycle maps from reduced Lawson homology is false. We show that the niveau filtration on reduced Lawson homology is trivial and construct an explicit class of examples for which Teh's conjecture fails by generalizing a result of Schülting. We compare different cycle maps and in particular we show that the Borel-Haeflinger cycle map naturally factors through the reduced Lawson homology cycle map.

Original languageEnglish (US)
Pages (from-to)641-661
Number of pages21
JournalDocumenta Mathematica
Volume17
Issue number2012
StatePublished - Jan 1 2012
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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