Abstract
The connected sum is a fundamental operation in geometric topology and combinatorics. In this paper, we study the connection between connected sums of simplicial spheres and the algebraic topology of their corresponding moment-angle manifolds. The cohomology rings of moment-angle manifolds corresponding to connected sums of simplicial spheres are computed, which leads to a conjecture on the topology of such moment-angle manifolds.
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Acknowledgements
The first author was supported by National Natural Science Foundation of China (Grant Nos. 11801580 and 11871284). The second author was supported by National Natural Science Foundation of China (Grant Nos. 11871284 and 11761072). The authors are grateful to the anonymous referees for their careful reading of the manuscript and many helpful comments and suggestions.
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Fan, F., Wang, X. Moment-angle manifolds and connected sums of simplicial spheres. Sci. China Math. 64, 2743–2758 (2021). https://doi.org/10.1007/s11425-020-1889-8
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DOI: https://doi.org/10.1007/s11425-020-1889-8