Algebraic differential characters of flat connections with nilpotent residues

TL;DR

This paper introduces a method to construct algebraic differential characters for flat connections exhibiting nilpotent residues along divisors with normal crossings, advancing the understanding of their algebraic and geometric properties.

Contribution

It presents a novel construction of unramified algebraic differential characters specifically for flat connections with nilpotent residues, expanding the toolkit for studying such connections.

Findings

Construction of unramified algebraic differential characters

Application to flat connections with nilpotent residues

Enhanced understanding of algebraic structures in differential geometry

Abstract

We construct unramified algebraic differential characters for flat connections with nilpotent residues along a strict normal crossings divisor.