Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On certain exotic 4-manifolds of Akhmedov and Park   In an article from 2008, A. Akhmedov and B. D. Park constructed irreducible
symplectic 4-manifolds homeomorphic but not diffeomorphic to the manifolds
CP^2#3CP^2bar and 3CP^2#5CP^2bar. These manifolds are constructed by using
generalized fibre sums. In this note we describe an explicit splitting of the
second (co-)homology of these manifolds adapted to their construction as fibre
sums. We also calculate the canonical classes of the symplectic structures.
This gives a new proof for a formula derived by A. Akhmedov, R. I. Baykur and
B. D. Park.

33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int