Integral Regulators for Higher Chow Complexes

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Li, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209839
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Integral Regulators for Higher Chow Complexes / M. Li // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 11 назв. — англ.

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-L...