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Stabilization of 4-manifolds

Stabilization of 4-manifolds
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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.
作者 CHO YongSeung
出处 《Science China Mathematics》 SCIE 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)
关键词 cosymplectic manifold symplectic manifold Gromov-Witten invariant h-cobordism Whitehead group DEFORMATION 稳定流形 微分同胚 复杂曲面 不变量 变形
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