Work

Integral Regulators for Higher Chow Complexes

Year: 2018

Type: article

Abstract: 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.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2018.118

Author: Muxi Li

Institution: University of Science and Technology of China

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Science Foundation

Award: FRG: Collaborative Research: Hodge Theory, Moduli, and Representation Theory