Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instanton L-spaces and splicing   We prove that the 3-manifold obtained by gluing the complements of two
nontrivial knots in homology 3-sphere instanton L-spaces, by a map which
identifies meridians with Seifert longitudes, cannot be an instanton L-space.
This recovers the recent theorem of Lidman, Pinzon-Caicedo, and Zentner that
the fundamental group of every closed, oriented, toroidal 3-manifold admits a
nontrivial SU(2)-representation, and consequently Zentner's earlier result that
the fundamental group of every closed, oriented 3-manifold besides the 3-sphere
admits a nontrivial SL(2,C)-representation.

28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat