Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong cylindricality and the monodromy of bundles   A surface $F$ in a 3-manifold $M$ is called cylindrical if $M$ cut open along
$F$ admits an essential annulus $A$. If, in addition, $(A, \partial A)$ is
embedded in $(M, F)$, then we say that $F$ is strongly cylindrical. Let $M$ be
a connected 3-manifold that admits a triangulation using $t$ tetrahedra and $F$
a two-sided connected essential closed surface of genus $g(F)$. We show that if
$g(F)$ is at least $38 t$, then $F$ is strongly cylindrical. As a corollary, we
give an alternative proof of the assertion that every closed hyperbolic
3-manifold admits only finitely many fibrations over the circle with connected
fiber whose translation distance is not one, which was originally proved by
Saul Schleimer.

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th