Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Faces of the scl norm ball   Let F be the fundamental group of S, where S is a compact, connected,
oriented surface with negative Euler characteristic and nonempty boundary.
  (1) The projective class of the chain \partial S in B_1(F) intersects the
interior of a codimension one face of the unit ball in the stable commutator
length pseudo-norm. (2) The unique homogeneous quasimorphism on F dual to this
face (up to scale and elements of H^1) is the rotation quasimorphism associated
to the action of F on the ideal boundary of the hyperbolic plane, coming from a
hyperbolic structure on S.
  These facts follow from the fact that every homologically trivial 1-chain in
S rationally cobounds an immersed surface with a sufficiently large multiple of
the boundary. This is true even if S has no boundary.

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The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org