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Symplectic S 5 action on symplectic homotopy K3 surfaces

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Abstract

Let X be a symplectic homotopy K3 surface and G = S 5 act on X symplectically. In this paper, we give a weak classification of the G action on X by discussing the fixed-point set structure. Besides, we analyse the exoticness of smooth structures of X under the action of G.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11301334).

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Maritime University, Shanghai, 201306, People’s Republic of China

    HONGXIA LI

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  1. HONGXIA LI
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Correspondence to HONGXIA LI.

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Communicating Editor: Mj Mahan

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LI, H. Symplectic S 5 action on symplectic homotopy K3 surfaces. Proc Math Sci 127, 383–392 (2017). https://doi.org/10.1007/s12044-016-0321-4

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  • DOI: https://doi.org/10.1007/s12044-016-0321-4

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