Group-like expansions and invariants of string links
Hisatoshi Kodani
TL;DR
This paper introduces new invariants for string links, inspired by analogues of Johnson and Morita homomorphisms, extending their concepts to punctured disks.
Contribution
It defines the total Milnor invariant and infinitesimal Morita-Milnor homomorphism for string links, providing new tools for their study.
Findings
Defined the total Milnor invariant for string links
Introduced the infinitesimal Morita-Milnor homomorphism
Extended surface homomorphism concepts to punctured disks
Abstract
In this article, we define and study the total Milnor invariant and the infinitesimal Morita-Milnor homomorphism as punctured disk analogues of the total Johnson map and the infinitesimal Morita homomorphism studied by Kawazumi and Massuyeau in the case of surface of positive genus with one boundary component.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory