Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surgery on tori in the 4-sphere   We investigate the operation of torus surgery on tori embedded in $S^4$. Key
questions include which 4-manifolds can be obtained in this way, and the
uniqueness of such descriptions. As an application we construct embeddings of
3-manifolds into 4-manifolds by viewing Dehn surgery as a cross section of a
surgery on a surface. In particular, we give new embeddings of homology spheres
into $S^4$.

37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ