In this paper, we combine the recent four-dimensional light bulb theorem of David Gabai and a construction of concordances for knots in S-2 x S-1. due to Eylem Zeliha Yildiz to construct an explicit concordance between the standard surface of genus g in S-2 x S-2 and any homologous surface using elementary methods.
机构:
Nagoya Univ, Dept Crystalline Mat Sci, Chikusa Ku, Furo Cho, Nagoya, Aichi 4648603, JapanTokyo Inst Technol, Dept Mat Sci & Engn, Meguro Ku, Ookayama 2-12-1-S8-44, Tokyo 1528552, Japan
Torimoto, Tsukasa
Vacha, Martin
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Tokyo Inst Technol, Dept Mat Sci & Engn, Meguro Ku, Ookayama 2-12-1-S8-44, Tokyo 1528552, JapanTokyo Inst Technol, Dept Mat Sci & Engn, Meguro Ku, Ookayama 2-12-1-S8-44, Tokyo 1528552, Japan
机构:
Environm & Climate Change Canada, Meteorol Res Div MRD, Rech Previs Numer Environm RPN E, Dorval, PQ, CanadaEnvironm & Climate Change Canada, Meteorol Res Div MRD, Rech Previs Numer Environm RPN E, Dorval, PQ, Canada
Wang, Pengcheng
Bernier, Natacha B.
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Environm & Climate Change Canada, Meteorol Res Div MRD, Rech Previs Numer Environm RPN E, Dorval, PQ, CanadaEnvironm & Climate Change Canada, Meteorol Res Div MRD, Rech Previs Numer Environm RPN E, Dorval, PQ, Canada
Bernier, Natacha B.
Thompson, Keith R.
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Dalhousie Univ, Dept Oceanog, Halifax, NS, CanadaEnvironm & Climate Change Canada, Meteorol Res Div MRD, Rech Previs Numer Environm RPN E, Dorval, PQ, Canada
Thompson, Keith R.
Kodaira, Tsubasa
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Univ Tokyo, Grad Sch Frontier Sci, Dept Ocean Technol Policy & Environm, Kashiwa, Chiba, JapanEnvironm & Climate Change Canada, Meteorol Res Div MRD, Rech Previs Numer Environm RPN E, Dorval, PQ, Canada