Work

The first homology of IA n with coefficients in spaces of Jacobi diagrams

Year: 2024

Type: article

Abstract: The aim of this paper is to compute the first homology of [Formula: see text] with coefficients in the [Formula: see text]-module [Formula: see text] of Jacobi diagrams of degree [Formula: see text] on [Formula: see text]-component oriented arcs. We also prove the self-duality of the [Formula: see text]-submodule [Formula: see text] of [Formula: see text] which is generated by a certain element.

Source: Journal of Topology and Analysis

DOI: 10.1142/s1793525324500432

Author: Mai Katada

Institution: Kyushu University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

OpenAlex ID: W4403453595

FWCI: 0.673

Cites: 24

Cited by: 1

Related to: 10