关于Akhmedov和Park的某些奇异4-流形
On certain exotic 4-manifolds of Akhmedov and Park
摘要：
在2008年的一篇文章中，A。Akhmedov和B. D. Park构造了与流形CP^2#3CP^2bar和3CP^2#5CP^2bar同胚但不同胚的不可约辛4-流形。这些流形是由广义纤维和构造的。在这份说明中，我们描述了一个明确的分裂的第二（上）这些流形的同调适应其建设的纤维和。我们还计算了辛结构的正则类。这对A.阿赫梅多夫河I. Baykur和B. D.公园
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
