Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear independence in the rational homology cobordism group   We give simple homological conditions for a rational homology 3-sphere Y to
have infinite order in the rational homology cobordism group, and for a
collection of rational homology spheres to be linearly independent. These
translate immediately to statements about knot concordance when Y is the
branched double cover of a knot, recovering some results of Livingston and
Naik. The statements depend only on the homology groups of the 3-manifolds, but
are proven through an analysis of correction terms and their behavior under
connected sums.

7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ