On certain exotic 4-manifolds of Akhmedov and Park
Geometric Topology
2011-02-23 v2 Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1102.1376,
title = {On certain exotic 4-manifolds of Akhmedov and Park},
author = {M. J. D. Hamilton},
journal= {arXiv preprint arXiv:1102.1376},
year = {2011}
}
Comments
10 pages; one reference added