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Stabilization of 4-manifolds

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Abstract

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 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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Authors and Affiliations

  1. Division of Mathematical and Physical Sciences, College of Natural Sciences, Ewha Womans University, Seoul, 120-750, Korea

    YongSeung Cho

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  1. YongSeung Cho
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Correspondence to YongSeung Cho.

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Cho, Y. Stabilization of 4-manifolds. Sci. China Math. 57, 1835–1840 (2014). https://doi.org/10.1007/s11425-014-4778-2

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  • DOI: https://doi.org/10.1007/s11425-014-4778-2

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