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Two Commuting Involutions Fixing RP1(2m + 1) ∪ RP2(2m + 1)

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Abstract

Let Z2 denote a cyclic group of 2 order and Z 22 = Z2 × Z2 the direct product of groups. Suppose that (M, Φ) is a closed and smooth manifold M with a smooth Z 22 -action whose fixed point set is the disjoint union of two real projective spaces with the same dimension. In this paper, the authors give a sufficient condition on the fixed data of the action for (M, Φ) bounding equivariantly.

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Acknowledgement

The authors would like to thank the anonymous reviewers for their careful reading and valuable suggestions.

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Authors and Affiliations

  1. School of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, China

    Suqian Zhao

  2. School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, 050024, China

    Yanying Wang & Jingyan Li

Authors
  1. Suqian Zhao
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  2. Yanying Wang
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  3. Jingyan Li
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Corresponding author

Correspondence to Yanying Wang.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 11771116).

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Zhao, S., Wang, Y. & Li, J. Two Commuting Involutions Fixing RP1(2m + 1) ∪ RP2(2m + 1). Chin. Ann. Math. Ser. B 42, 737–752 (2021). https://doi.org/10.1007/s11401-021-0288-z

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  • DOI: https://doi.org/10.1007/s11401-021-0288-z

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