Cubulating drilled bundles over graphs
We start with a Gromov-hyperbolic surface bundle E over a graph, and drill out essential simple closed curves from fibers to obtain a drilled bundle F .We prove that for such drilled bundles F , the fundamental group 1 .F / is relatively hyperbolic with Z Z peripheral groups.Combining the relative hyperbolicity of 1 .F / thus obtained with a theorem of Wise, we establish virtually special cubulability of 1 .F / provided that the maximal undrilled subbundles of F are cubulable.
Authors
- Mahan Mj (ORCID: https://orcid.org/0000-0002-1316-0906)
- Biswajit Nag
Institutions
- Tata Institute of Fundamental Research (IN)
Publication Details
- Journal
- Algebraic & Geometric Topology
- Published
- 2025-10-29
- DOI
- https://doi.org/10.2140/agt.2025.25.4095
- Primary Topic
- Advanced Graph Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Department of Science and Technology, Ministry of Science and Technology, India
- Department of Atomic Energy, Government of India
- Agence Nationale de la Recherche
- Infosys Foundation
- Centre National de la Recherche Scientifique
- Institut Henri Poincaré