Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stein 4-manifolds and corks   It is known that every compact Stein 4-manifolds can be embedded into a
simply connected, minimal, closed, symplectic 4-manifold. By using this
property, we discuss a new method of constructing corks. This method generates
a large class of new corks including all the previously known ones. We prove
that every one of these corks can knot infinitely many different ways in a
closed smooth manifold, by showing that cork twisting along them gives
different exotic smooth structures. We also give an example of infinitely many
disjoint embeddings of a fixed cork into a non-compact 4-manifold which produce
infinitely many exotic smooth structures. Furthermore, we construct arbitrary
many simply connected compact codimension zero submanifolds of S^4 which are
mutually homeomorphic but not diffeomorphic.

13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys