Module structure of the homology of right-angled Artin kernels

Artal Bartolo, Enrique (Universidad de Zaragoza) ; Cogolludo-Agustín, José Ignacio (Universidad de Zaragoza) ; López de Medrano, Santiago ; Matei, Daniel

Resumen: We study the module structure of the homology of Artin kernels, ie kernels of nonresonant characters from right-angled Artin groups onto the integer numbers, where the module structure is with respect to the ring K[t±1] for K a field of characteristic zero. Papadima and Suciu determined some part of this structure by means of the flag complex of the graph of the Artin group. We provide more properties of the torsion part of this module, eg the dimension of each primary part and the maximal size of Jordan forms (if we interpret the torsion structure in terms of a linear map). These properties are stated in terms of homology properties of suitable filtrations of the flag complex and suitable double covers of an associated toric complex.

Idioma: Inglés

DOI: 10.2140/agt.2022.22.2775

Año: 2022

Publicado en: Algebraic and Geometric Topology 22, 6 (2022), 2775-2803
ISSN: 1472-2739

Factor impacto JCR: 0.7 (2022)

Categ. JCR: MATHEMATICS rank: 203 / 329 = 0.617 (2022) - Q3 - T2

Factor impacto CITESCORE: 1.2 - Mathematics (Q3)

Factor impacto SCIMAGO: 0.946 - Geometry and Topology (Q1)

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)