A degree theorem for the simplicial closure of Auter space
Algebraic Topology
2023-06-09 v2 Geometric Topology
Abstract
The degree of a based graph is the number of essential nonbasepoint vertices after generic perturbation. Hatcher--Vogtmann's degree theorem states that the subcomplex of Auter space of graphs of degree at most d is (d-1)-connected. We extend the definition of degree to the simplicial closure of Auter space and prove a version of Hatcher--Vogtmann's result in this context.
Cite
@article{arxiv.2208.12358,
title = {A degree theorem for the simplicial closure of Auter space},
author = {Juliet Aygun and Jeremy Miller},
journal= {arXiv preprint arXiv:2208.12358},
year = {2023}
}
Comments
9 pages, 2 figures, to appear in Homology, Homotopy, and Applications