121 citations · 441 across the 31 of their papers we have counts for
35 papers
Handlebodies, Outer space, and tropical geometry
Rohini Ramadas, Rob Silversmith, Karen Vogtmann +1
The moduli space of graphs is a polyhedral object that mimics the behavior of the moduli spaces , of (stable) Riemann surfac…
The boundary of bordified Outer space
Karen Vogtmann
We study the boundary of the "Jewel space" constructed in arXiv:1709.01296. This is an equivariant deformation retract of Outer space on which acts…
Finite groups of untwisted outer automorphisms of RAAGs
Corey Bregman, Ruth Charney, Karen Vogtmann
For any right-angled Artin group , Charney--Stambaugh--Vogtmann showed that the subgroup generated by Whitehead automorphisms and inversions act…
The Euler characteristic of the moduli space of graphs
Michael Borinsky, Karen Vogtmann
The moduli space of rank graphs, the outer automorphism group of the free group of rank and Kontsevich's Lie graph complex have the same rational cohomology. We show that t…
The complex of free factors of a free group
Allen Hatcher, Karen Vogtmann
This paper corrects an error in a proof in the original version of the paper published in 1998 in the Oxford Quarterly. The main theorem remains the same: The geometric realization…
Computing Euler characteristics using quantum field theory
Michael Borinsky, Karen Vogtmann
This paper explains how to use quantum field theory techniques to find formal power series that encode the virtual Euler characteristics of and related graph co…