The first homology of IA <sub>n</sub> with coefficients in spaces of Jacobi diagrams
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.
Authors
- Mai Katada (ORCID: https://orcid.org/0000-0002-7094-175X)
Institutions
- Kyushu University (JP)
Publication Details
- Journal
- Journal of Topology and Analysis
- Published
- 2024-10-16
- DOI
- https://doi.org/10.1142/s1793525324500432
- Citations
- 1
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.89