Abstract
For each integer \(m\ge 2\) and \(\ell \ge 1\) we construct a pair of compact embedded minimal surfaces of genus \(1+ 4m(m-1)\ell \). These surfaces desingularize the m Clifford tori meeting each other along a great circle at the angle of \(\pi /m\). They are invariant under a finite group of screw motions and have no reflection symmetry across a great sphere.
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Acknowledgments
Jaigyoung Choe is supported in part by NRF, 2011-0030044, SRC-GAIA.
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In memory of Professor Hyo Chul Myung, former president of KIAS.
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Choe, J., Soret, M. New minimal surfaces in \({\mathbb {S}}^3\) desingularizing the Clifford tori. Math. Ann. 364, 763–776 (2016). https://doi.org/10.1007/s00208-015-1239-3
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DOI: https://doi.org/10.1007/s00208-015-1239-3