Stabilization of 4-manifolds |
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| Authors: | YongSeung Cho |
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| Institution: | 1. Division of Mathematical and Physical Sciences, College of Natural Sciences, Ewha Womans University, Seoul, 120-750, Korea
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| Abstract: | The complex surface X obtained by 8 points blown up on ??2 and Barlow’s surface Y are homeomorphic, but not diffeomorphic. Using the Gromov-Witten invariant Ruan showed that the stabilized manifolds X × S 2 and Y × S 2 are not deformation equivalent. In this note, we show that the stabilized manifolds X × S 1 and Y × S 1 are diffeomorphic and non-deformation equivalent in cosymplectic sense. |
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| Keywords: | cosymplectic manifold symplectic manifold Gromov-Witten invariant h-cobordism Whitehead group deformation |
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