Geodesic
Integral Regulators for Higher Chow Complexes
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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Building on Kerr, Lewis and Müller–Stach's work on the rational regulator, we prove the existence of an integral regulator on higher Chow complexes and give an explicit expression. This puts firm ground under some earlier results and speculations on the torsion in higher cycle groups by Kerr–Lewis–Müller-Stach, Petras, and Kerr–Yang.
Keywords: integral regulator; higher Chow groups; algebraic cycles; Abel–Jacobi map. 
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Muxi Li. Integral Regulators for Higher Chow Complexes. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a117/

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