Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bordered invariants of pairs of sutured manifolds with torus boundary   We establish a framework for extending invariants of sutured manifolds to
invariants of pairs of sutured manifolds who differ by attaching a basic slice
along a torus boundary component. In the particular case of (bordered-)sutured
Floer homology we show that this recovers the bordered-sutured Floer homology
of a corresponding bordered-sutured three-manifold - though the framework is
broad enough that it should be applicable in the setting of other invariants of
sutured manifolds.

29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ