The weight filtration on real singular homology is motivic
arXiv:2510.13379
Abstract
We give an alternative construction of Totaro's weight filtration on singular homology of the real points of a real algebraic variety. Our construction shows that this filtration comes from Bondarko's weight filtration on Voevodsky motives.
17 pages, comments welcome! Parts 3 and 4 have been modified: an action of transfers is needed on a complex quasi-isomorphic to the singular chain complex and not just on the real homology groups