Seifert surgeries on knots and their network

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Connectivity of the <strong>Seifert</strong> Surgery Network Question Is the <strong>Seifert</strong> Surgery Network connected? Kimihiko Motegi joint work with Arnaud Deruelle <strong>Seifert</strong> and<strong>surgeries</strong> Katura Miyazaki on knots and () their network 35 / 53
Connectivity of the <strong>Seifert</strong> Surgery Network Question Is the <strong>Seifert</strong> Surgery Network connected? T : the subnetwork consisting of <strong>Seifert</strong> <strong>surgeries</strong> on torus knots and edges corresponding to basic seiferters. Kimihiko Motegi joint work with Arnaud Deruelle <strong>Seifert</strong> and<strong>surgeries</strong> Katura Miyazaki on knots and () their network 35 / 53
Page 1 and 2:
Seifert su
Page 3 and 4:
Dehn surgery K: a knot in the 3-sph
Page 5 and 6:
Dehn surgery K: a knot in the 3-sph
Page 7 and 8:
Seifert fibered <s
Page 9 and 10:
Seifert fibered <s
Page 11 and 12: Surgeries on hyperbolic knots Let K
Page 13 and 14: Seifert fibered <s
Page 15 and 16: Motivation for our study Let K be a
Page 17 and 18: Motivation for our study Let K be a
Page 19 and 20: Practical situation in our life Do
Page 21 and 22: Practical situation in our life If
Page 23 and 24: Human network Why do I have a cold?
Page 25 and 26: Human network I have a cold I have
Page 27 and 28: Human network I have a cold I have
Page 29 and 30: Seifert Surgery Ne
Page 31 and 32: Vertices of Seifert</strong
Page 33 and 34: Vertices of Seifert</strong
Page 35 and 36: Seiferters for <st
Page 47 and 48: Degenerate Seifert
Page 49 and 50: Seiferters for deg
Page 55 and 56: Edges of Seifert S
Page 57 and 58: Edges of Seifert S
Page 59 and 60: S-lattices Each Seifert</st
Page 61: Cycles in the network Theorem The <
Page 65 and 66: Origins of Seifert
Page 67 and 68: Origins of Seifert
Page 69 and 70: Hyperbolic seiferters (K, m) hyperb
Page 71 and 72: Examples c m c m a bm m m+3 twist m
Page 73 and 74: Examples Starting with basic seifer
Page 75 and 76: (T, -8) (T, -7) (T, -6) (T, -5) (T,
Page 77 and 78: (T, -8) (T, -7) (T, -6) (T, -5) (T,
Page 79 and 80: c -6 s -3 (T, -8) (T, -7) (T, -6) (
Page 81 and 82: Who are spreaders? ✓ Question Whi
Page 83 and 84: Who are spreaders? ✓ Question Whi
Page 85 and 86: Who are spreaders? Theorem The foll
Page 93 and 94: = (K (4,1), -127) -11, 13 (K(-11,13
Page 95: Seiferters and ban
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Seifert surgeries on knots and their network

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