Stabilization of 4-manifolds  

作　　者：CHO YongSeung 

机构地区：[1]Division of Mathematical and Physical Sciences,College of Natural Sciences,Ewha Womans University

出　　处：《Science China Mathematics》2014年第9期1835-1840,共6页中国科学：数学（英文版）

基　　金：supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education(Grant No.2013004848)

摘　　要：The complex surface X obtained by 8 points blown up on CP2 and Barlow’s surface Y are homeomorphic,but not diffeomorphic.Using the Gromov-Witten invariant Ruan showed that the stabilized manifolds X×S2and Y×S2are not deformation equivalent.In this note,we show that the stabilized manifolds X×S1and Y×S1are diffeomorphic and non-deformation equivalent in cosymplectic sense.The complex surface X obtained by 8 points blown up on CP2 and Barlow’s surface Y are homeomorphic,but not diffeomorphic.Using the Gromov-Witten invariant Ruan showed that the stabilized manifolds X×S^2and Y×S^2are not deformation equivalent.In this note,we show that the stabilized manifolds X×S^1and Y×S^1are diffeomorphic and non-deformation equivalent in cosymplectic sense.

关 键 词：cosymplectic manifold symplectic manifold Gromov-Witten invariant h-cobordism Whitehead group DEFORMATION 

分 类 号：O186.12[理学—数学]