Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ideal Whitehead Graphs in Out(F_r) II: The Complete Graph in Each Rank   We show how to construct, for each $r \geq 3$, an ageometric, fully
irreducible $\phi\in Out(F_r)$ whose ideal Whitehead graph is the complete
graph on $2r-1$ vertices.
  This paper is the second in a series of three where we show that precisely
eighteen of the twenty-one connected, simplicial, five-vertex graphs are ideal
Whitehead graphs of fully irreducible $\phi \in Out(F_3)$. The result is a
first step to an $Out(F_r)$ version of the Masur-Smillie theorem proving
precisely which index lists arise from singular measured foliations for
pseudo-Anosov mapping classes.
  In this paper we additionally give a method for finding periodic Nielsen
paths and prove a criterion for identifying representatives of ageometric,
fully irreducible $\phi\in Out(F_r)$

0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom