2011/09/14 by Darlan Girão, Girão, Darlan
Computer Science · Mathematics · #Advanced Graph Theory Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1109.3084
Included referee's comments and suggestions. Some figures replaced. Proof of main theorem improved. To appear in Geometriae Dedicata
openalex publication_date 2011/09/14 · arxiv created 2013/01/19 · arxiv updated 2013/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the fibration of augmented link complements. Given the diagram of an augmented link we associate a spanning surface and a graph. We then show that this surface is a fiber for the link complement if and only if the associated graph is a tree. We further show that fibration is preserved under Dehn filling on certain components of these links. This last result is then used to prove that within a very large class of links, called locally alternating augmented links, every link is fibered.