Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: More Brieskorn spheres bounding rational balls   We call an integral homology sphere $\textit{non-trivially}$ bounds a
rational homology ball if it is obstructed from bounding an integral homology
ball. After Fintushel and Stern's well-known example $\Sigma(2,3,7)$, Akbulut
and Larson recently provided the first infinite families of Brieskorn spheres
non-trivially bounding rational homology balls: $\Sigma(2,4n+1,12n+5)$ and
$\Sigma(3,3n+1,12n+5)$ for odd~$n$. Using their technique, we present new such
families: $\Sigma(2,4n+3,12n+7)$ and $\Sigma(3,3n+2,12n+7)$ for even $n$. Also
manipulating their main argument, we simply recover some classical results of
Akbulut and Kirby, Fickle, Casson and Harer, and Stern about Brieskorn spheres
bounding integral homology balls.

7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga