Ribbon \(2\)-knot groups of Coxeter type. (English) Zbl 1530.20131
Reviewer: Egle Bettio (Venezia)
Found 119 Documents (Results 1–100)
The 0-concordance monoid admits an infinite linearly independent set. (English) Zbl 1521.57021
Reviewer: Inasa Nakamura (Saga)
Extension of Takahashi’s ribbon 2-knots with isomorphic groups. (English) Zbl 1512.57033
Reviewer: Inasa Nakamura (Saga)
Bridge trisections and classical knotted surface theory. (English) Zbl 1504.57036
Reviewer: Inasa Nakamura (Kanazawa)
MSC:
57K45
On universal parity on free two-dimensional knots. (English) Zbl 1511.57016
Reviewer: Blake Winter (Buffalo)
MSC:
57K12
2-knot homology and Roseman move. (English) Zbl 1496.57023
Reviewer: Inasa Nakamura (Kanazawa)
MSC:
57K45
Doubly pointed trisection diagrams and surgery on 2-knots. (English) Zbl 1483.57020
Reviewer: Inasa Nakamura (Kanazawa)
Unknotting numbers of 2-spheres in the 4-sphere. (English) Zbl 1523.57025
Reviewer: Inasa Nakamura (Saga)
Classification of ribbon 2-knots of 1-fusion with length up to six. (English) Zbl 1476.57031
Reviewer: Inasa Nakamura (Kanazawa)
0-concordance of 2-knots. (English) Zbl 1464.57033
Reviewer: Inasa Nakamura (Kanazawa)
On the conical Novikov homology. (English) Zbl 1470.57050
Reviewer: Irina Gelbukh (Ciudad de México)
2-Knot homology and Yoshikawa move. (English) Zbl 1456.57019
MSC:
57K45
A Fox-Milnor theorem for the Alexander polynomial of knotted 2-spheres in \(S^4\). (English) Zbl 1452.57018
Reviewer: Inasa Nakamura (Kanazawa)
MSC:
57K45
Suciu’s ribbon 2-knots with isomorphic group. (English) Zbl 1448.57023
Reviewer: Inasa Nakamura (Kanazawa)
Presentation of a ribbon \(2\)-knot. (English) Zbl 1448.57022
Reviewer: Inasa Nakamura (Kanazawa)
MSC:
57K45
Classification of ribbon 2-knots presented by virtual arcs with up to four crossings. (English) Zbl 1429.57017
Reviewer: Inasa Nakamura (Kanazawa)
Concordances from the standard surface in \(S^2 \times S^2\). (English) Zbl 1426.57039
Reviewer: Inasa Nakamura (Kanazawa)
Immersed 2-knots with essential singularity. (English) Zbl 1422.57066
Reviewer: Inasa Nakamura (Kanazawa)
MSC:
57Q45
Ribbon 2-knots of ribbon crossing number four. (English) Zbl 1401.57037
Reviewer: Inasa Nakamura (Kanazawa)
MSC:
57Q45
57M25
Classification of a family of ribbon 2-knots with trivial Alexander polynomial. (English) Zbl 1397.57044
Reviewer: Inasa Nakamura (Kanazawa)
MSC:
57Q45
57M05
Ribbon crossing numbers, crossing numbers, and Alexander polynomials. (English) Zbl 1404.57043
Reviewer: Michał Jabłonowski (Gdansk)
MSC:
57Q45
57M25
Minimal charts. (English) Zbl 1394.57020
Reviewer: Inasa Nakamura (Kanazawa)
MSC:
57Q45
57Q35
Circle-valued Morse theory for frame spun knots and surface-links. (English) Zbl 1395.57031
Reviewer: Ash Lightfoot (Moscow)
MSC:
57Q45
On the Morse-Novikov number for 2-knots. (English) Zbl 1383.57030
Reviewer: Inasa Nakamura (Kanazawa)
Branched twist spins and knot determinants. (English) Zbl 1404.57042
Reviewer: Daniele Zuddas (Seoul)
Solvable normal subgroups of 2-knot groups. (English) Zbl 1380.57030
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
Minimal charts of type \((3,3)\). (English) Zbl 1373.57044
MSC:
57Q45
57Q35
Separating a chart. (English) Zbl 1375.57033
MSC:
57Q45
57Q35
Enumeration of ribbon 2-knots presented by virtual arcs with up to four crossings. (English) Zbl 1373.57043
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
57M25
Properties of minimal charts and their applications. IV: Loops. (English) Zbl 1369.57026
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
57Q35
The 6- and 8-palette numbers of links. (English) Zbl 1365.57008
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57M25
57Q45
A small infinitely-ended 2-knot group. (English) Zbl 1361.57032
Reviewer: Daniele Ettore Otera (Vilnius)
Parities on 2-knots and 2-links. (English) Zbl 1358.57026
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
57M27
Pseudo-cycles of surface-knots. (English) Zbl 1359.57015
Reviewer: Ash Lightfoot (Moskow)
MSC:
57Q45
11-colored knot diagram with five colors. (English) Zbl 1337.57030
MSC:
57M25
57Q45
On knotted real projective planes. (English) Zbl 1332.57021
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
57M27
57M25
Gambits in charts. (English) Zbl 1329.57032
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
57Q35
Stable isotopy in four dimensions. (English) Zbl 1355.57028
Reviewer: Riccardo Piergallini (Camerino)
Lectures on knot homology and quantum curves. (English) Zbl 1320.81084
Stolz, Stephan (ed.), Topology and field theories. Center for Mathematics at Notre Dame. Summer school and conference, University of Notre Dame, Notre Dame, IN, USA, May 29 – June 8, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1015-5/pbk; 978-1-4704-1552-5/ebook). Contemporary Mathematics 613, 41-78 (2014).
On effective 9-colorings for knots. (English) Zbl 1317.57006
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57M25
57Q45
7-colored 2-knot diagram with six colors. (English) Zbl 1293.57013
MSC:
57Q45
57Q35
Fundamental biquandles of ribbon 2-knots and ribbon torus-knots with isomorphic fundamental quandles. (English) Zbl 1290.57028
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
57M27
Seifert fibered knot manifolds. (English) Zbl 1290.57007
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57M25
57Q45
The groups of fibred 2-knots. (English) Zbl 1282.57031
Hodgson, Craig D. (ed.) et al., Geometry and topology down under. A conference in honour of Hyam Rubinstein, Melbourne, Australia, July 11–22, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8480-5/pbk). Contemporary Mathematics 597, 281-294 (2013).
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
Gluck twist on a certain family of 2-knots. (English) Zbl 1259.57012
Reviewer: Inasa Nakamura (Tokyo)
Surface-links represented by 4-charts and quandle cocycle invariants. II. (English) Zbl 1251.57016
Reviewer: Dieter Erle (Dortmund)
2-knots with solvable groups. (English) Zbl 1225.57014
Reviewer: Inasa Nakamura (Kyoto)
MSC:
57Q45
Any chart with at most one crossing is a ribbon chart. (English) Zbl 1202.57024
Reviewer: Ivan Ivanšić (Zagreb)
MSC:
57Q45
57Q35
Ribbon 2-knots with symmetric union presentations. (English) Zbl 1184.57014
MSC:
57Q45
57M25
Ribbon 2-knots with distinct ribbon types. (English) Zbl 1189.57022
Reviewer: Susumu Hirose (Saga)
MSC:
57Q45
57M25
Triviality of a 2-knot with one or two sheets. (English) Zbl 1181.57030
Reviewer: Susumu Hirose (Saga)
MSC:
57Q45
57Q35
An obstruction to a knot being deform-spun via Alexander polynomials. (English) Zbl 1182.57017
Reviewer: Hitoshi Murakami (Tokyo)
MSC:
57Q45
57M10
Sheet number and quandle-colored 2-knot. (English) Zbl 1178.57020
Reviewer: Ivan Ivanšić (Zagreb)
MSC:
57Q45
57Q35
Properties of minimal charts and their applications. II. (English) Zbl 1194.57030
Reviewer: Riccardo Piergallini (Camerino)
MSC:
57Q45
On 2-knots with total width eight. (English) Zbl 1185.57022
Reviewer: Ivan Ivanšić (Zagreb)
MSC:
57Q45
57R45
All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron. (English) Zbl 1151.57027
Reviewer: Athanase Papadopoulos (Strasbourg)
Clasper-moves among ribbon 2-knots characterizing their finite type invariants. (English) Zbl 1121.57010
Reviewer: Ivan Ivanšić (Zagreb)
MSC:
57Q45
57M25
The braid index is not additive for the connected sum of 2-knots. (English) Zbl 1114.57028
Reviewer: Hitoshi Murakami (Tokyo)
MSC:
57Q45
Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers. (English) Zbl 1114.57026
Reviewer: Michael Farber (Zürich)
MSC:
57Q45
57Q35
An evaluation of the crossing number on ribbon 2-knots. (English) Zbl 1087.57017
MSC:
57Q45
57M25
The integrality of dihedral quandle cocycle invariants. (English) Zbl 1086.57020
Reviewer: Hitoshi Murakami (Tokyo)
MSC:
57Q45
57R42
No 2-knot has triple point number two or three. (English) Zbl 1088.57018
Reviewer: Michael Farber (Zürich)
MSC:
57Q45
57Q35
Calculation of dihedral quandle cocycle invariants of twist spun 2-bridge knots. (English) Zbl 1077.57021
Reviewer: Hitoshi Murakami (Tokyo)
MSC:
57Q45
57M27
The 2-twist-spun trefoil has the triple point number four. (English) Zbl 1037.57018
Reviewer: Michael Farber (Zürich)
MSC:
57Q45
57Q35
Tits alternatives and low dimensional topology. (English) Zbl 1056.57002
Reviewer: Katsuya Yokoi (Matsue)
Positive, alternating, and pseudo-ribbon surface-knots. (English) Zbl 1037.57017
Reviewer: Cherry Kearton (Durham)
MSC:
57Q45
57Q35
Four-manifolds, geometries and knots. (English) Zbl 1087.57015
Geometry and Topology Monographs 5. Coventry: Geometry & Topology Publications. xiv, 379 p. (2002).
Reviewer: Terry Lawson (New Orleans)
Surface diagrams of twist-spun 2-knots. (English) Zbl 1003.57031
Reviewer: Athanase Papadopoulos (Strasbourg)
MSC:
57Q45
57M25
Surface-links with square-type ch-graphs. (English) Zbl 1002.57049
Reviewer: M.Farber (Tel Aviv)
MSC:
57Q45
On 1-handle surgery and finite type invariants of surface knots. (English) Zbl 0996.57014
Reviewer: Athanase Papadopoulos (Strasbourg)
MSC:
57Q45
57M25
Two filtrations of ribbon 2-knots. (English) Zbl 0998.57045
Reviewer: Jonathan A.Hillman (Sydney)
MSC:
57Q45
Gluck surgery and framed links in 4-manifolds. (English) Zbl 0978.57018
Gordon, Cameron McA. (ed.) et al., Knots in Hellas ’98. Proceedings of the international conference on knot theory and its ramifications, European Cultural Centre of Delphi, Greece, August 7–15, 1998. Singapore: World Scientific. Ser. Knots Everything 24, 80-93 (2000).
Reviewer: Alberto Cavicchioli (Modena)
Cusp equivalence between smooth embeddings of the 2-sphere in 4-space. (English) Zbl 0944.57018
Hass, Joel (ed.) et al., Proceedings of the Kirbyfest, Berkeley, CA, USA, June 22-26, 1998. Warwick: University of Warwick, Institute of Mathematics, Geom. Topol. Monogr. 2, 343-348 (1999).
Reviewer: C.Kearton (Durham)
High-dimensional knots corresponding to the fractional Fibonacci groups. (English) Zbl 0942.57022
Reviewer: Maria Rita Casali (Modena)
Finite type invariants of Ribbon 2-knots. (English) Zbl 0929.57014
Nencka, Hanna (ed.), Low dimensional topology. Proceedings of a conference, Funchal, Madeira, Portugal, January 12–17, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 233, 187-196 (1999).
Reviewer: Alexander Stoimenov (Berlin)
MSC:
57Q45
57Q35
Gluck surgery along a \(2\)-sphere in a \(4\)-manifold is realized by surgery along a projective plane. (English) Zbl 0943.57009
Reviewer: Maria Rita Casali (Modena)
Optimal presentations for solvable 2-knot groups. (English) Zbl 0908.57004
Reviewer: I.Ivanšić (Zagreb)
MSC:
57Q45
Complementary space of knots and disks in dimension 4. (English) Zbl 0928.57032
Boileau, Michel (ed.) et al., Progress in knot theory and related topics. Paris: Hermann. Trav. Cours. 56, 13-19 (1997).
MSC:
57Q45
Surfaces in 4-space: A view of normal forms and braidings. (English) Zbl 0924.57029
Suzuki, S. (ed.), Lectures at Knots ’96. Proceedings of the international conference on knot theory, Tokyo, Japan, July 22–31, 1996. Singapore: World Scientific. Ser. Knots Everything. 15, 39-71 (1997).
Reviewer: I.Ivanšić (Zagreb)
The centers of fibered two-knot groups. (English) Zbl 0889.57037
Kazez, William H. (ed.), Geometric topology. 1993 Georgia international topology conference, August 2–13, 1993, Athens, GA, USA. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 2(pt.1), 473-477 (1997).
Unknotting and fusion numbers of ribbon 2-knots. (English) Zbl 0889.57035
Reviewer: I.Ivanšić (Zagreb)
MSC:
57Q45
Free group automorphisms and knotted tori in \(S^ 4\). (English) Zbl 0879.57018
MSC:
57Q45
57M07
Weak unknotting number of a composite 2-knot. (English) Zbl 0862.57016
Reviewer: H.M.Unsöld (Berlin)
MSC:
57Q45
Unknotting orientable surfaces in the 4-sphere. (English) Zbl 0844.57020
MSC:
57Q45
A characterization of 2-knots groups. (English) Zbl 0822.57018
Reviewer: C.Kearton (Durham)
MSC:
57Q45
The algebraic characterization of geometric 4-manifolds. (English) Zbl 0812.57001
London Mathematical Society Lecture Note Series. 198. Cambridge: Cambridge University Press. ix, 170 p. (1994).
Reviewer: Terry Lawson (New Orleans)
A characterization of groups of closed orientable surfaces in 4-space. (English) Zbl 0820.57017
Reviewer: J.A.Hillman (Sydney)
Splittings of manifolds with boundary and related invariants. (English) Zbl 0847.57020
Reviewer: J.Vrabec (Ljubljana)
MSC:
57N10
57Q45
On diffeomorphisms over \(T^ 2\)-knots. (English) Zbl 0806.57011
MSC:
57Q45
On the asphericity of knot complements. (English) Zbl 0784.57010
Reviewer: J.A.Hillman (Sydney)
The reflexivity of 2-knots in \(S^ 2{\times{}}S^ 2\). (English) Zbl 0780.57013
Reviewer: C.Kearton (Durham)
MSC:
57Q45
Certain abelian subgroups of two-knot groups. (English) Zbl 0763.57016
Knots 90, Proc. Int. Conf. Knot Theory Rel. Topics, Osaka/Japan 1990, 231-240 (1992).
Reviewer: U.Kaiser (Siegen)
MSC:
57Q45
20E06
Geometries on 4-manifolds, Euler characteristic and elementary amenable groups. (English) Zbl 0763.57011
Knots 90, Proc. Int. Conf. Knot Theory Rel. Topics, Osaka/Japan 1990, 25-46 (1992).
Reviewer: Ch.Kearton (Durham)
MSC:
57N13
57Q45
On deform-spun projective planes in 4-sphere obtained from peripheral inverting deformations. (English) Zbl 0731.57010
Algebra and topology, Proc. 5th Math. Workshop, Taejon/Korea 1990, Proc. KIT Math. Workshop 5, 197-203 (1990).
Reviewer: S.Kamada
MSC:
57Q45
Geometrically fibred two-knots. (English) Zbl 0674.57017
Reviewer: J.A.Hillman
Addendum to “Fibered 2-knots and lens spaces”. (English) Zbl 0736.57009
Reviewer: K.Murasugi (Toronto)
MSC:
57Q45
57N10
57N13
2-knots and their groups. (English) Zbl 0669.57008
Australian Mathematical Society Lecture Series, 5. Cambridge etc.: Cambridge University Press. x, 164 p. (1989).
Reviewer: Ch.Kearton
Fibered 2-knots and lens spaces. (English) Zbl 0703.57010
Reviewer: K.Murasugi
MSC:
57Q45
57N10
57N13
On the reflexivity of Cappell-Shaneson 2-knots. (English) Zbl 0657.57011
Reviewer: J.A.Hillman
MSC:
57Q45
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