Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuous Quivers of Type A (IV) Continuous Mutation and Geometric
  Models of $\mathbf E$-clusters   This if the final paper in the seriesContinuous Quivers of Type $A$. In this
part, we generalize existing geometric models of type $A$ cluster structures to
the new $\mathbf E$-clusters introduced in part (III). We also introduce an
isomorphism of cluster theories and a weak equivalence of cluster theories.
Examples of both are given. We use thes geometric models and isomorphisms of
cluster theories to begin classifying continuous type $A$ cluster structures.
We also introduce a continuous generalization of mutation. This encompasses
mutation and (infinite) sequences of mutation. Then we link continuous mutation
to our earlier geometric models. Finally, we introduce the space of mutations
which generalizes the exchange graph of a cluster structure.

17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org