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Exotic involutions on symplectic 4-manifolds and G-monopole invariants

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Abstract.

Using the G-monopole invariant, we shall show that any anti-holomorphic involution on a closed symplectic 4-manifold is not diffeomorphic to any holomorphic involution. As a corollary, we shall give a way to construct exotic smooth structures.

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Authors and Affiliations

  1. Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka Osaka 560-0043, Japan, e-mail: smv105im@ecs.cmc.osaka-u.ac.jp, , , , , , JP

    M. Ishida

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  1. M. Ishida
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Submitted: July 1999.

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Ishida, M. Exotic involutions on symplectic 4-manifolds and G-monopole invariants . GAFA, Geom. funct. anal. 10, 1477–1486 (2000). https://doi.org/10.1007/PL00001657

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  • DOI: https://doi.org/10.1007/PL00001657

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