Filling braided links with trisected surfaces. (English) Zbl 1541.57022
Reviewer: Inasa Nakamura (Saga)
Found 54 Documents (Results 1–54)
Kirby-Thompson distance for trisections of knotted surfaces. (English) Zbl 1541.57021
Reviewer: Inasa Nakamura (Saga)
MSC:
57K45
Bridge trisections and classical knotted surface theory. (English) Zbl 1504.57036
Reviewer: Inasa Nakamura (Kanazawa)
MSC:
57K45
Cohomology with local coefficients and knotted manifolds. (English) Zbl 1472.57004
Reviewer: Jonathan Hodgson (Swarthmore)
Homology of ternary algebras yielding invariants of knots and knotted surfaces. (English) Zbl 1464.57004
Isotopies of surfaces in 4-manifolds via banded unlink diagrams. (English) Zbl 1452.57017
Reviewer: Inasa Nakamura (Kanazawa)
Trisections of surface complements and the Price twist. (English) Zbl 1440.57020
Reviewer: Anthony Conway (Genève)
Knotted surfaces in 4-manifolds by knot surgery and stabilization. (English) Zbl 1417.57025
Reviewer: Inasa Nakamura (Kanazawa)
Bridge trisections of knotted surfaces in 4-manifolds. (English) Zbl 1418.57017
Reviewer: Inasa Nakamura (Kanazawa)
MSC:
57Q45
The maximally symmetric surfaces in the 3-torus. (English) Zbl 1382.57009
Reviewer: Bruno Zimmermann (Trieste)
Genera and minors of multibranched surfaces. (English) Zbl 1376.57024
Reviewer: Inasa Nakamura (Tokyo)
Presentations and representations of surface singular braid monoids. (English) Zbl 1369.57024
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
20M30
Knotted surfaces in 4-manifolds and stabilizations. (English) Zbl 1339.57028
Reviewer: Inasa Nakamura (Tokyo)
Knotted surfaces in 3-space with simple fold projections, II. (English) Zbl 1347.57027
Reviewer: Ivan Ivanšić (Zagreb)
MSC:
57Q45
57M25
Applying Lipson’s state models to marked graph diagrams of surface-links. (English) Zbl 1336.57033
Reviewer: Ivan Ivanšić (Zagreb)
MSC:
57Q45
57M25
Reidemeister/Roseman-type moves to embedded foams in 4-dimensional space. (English) Zbl 1317.57015
Kauffman, Louis H. (ed.) et al., New ideas in low dimensional topology. Hackensack, NJ: World Scientific (ISBN 978-981-4630-61-0/hbk; 978-981-4630-63-4/ebook). Series on Knots and Everything 56, 1-30 (2015).
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
On the Alexander biquandles of oriented surface-links via marked graph diagrams. (English) Zbl 1304.57038
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
57M25
Ideal coset invariants for surface-links in \(\mathbb R^{4}\). (English) Zbl 1281.57015
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
57M25
57M27
Quandle homotopy invariants of knotted surfaces. (English) Zbl 1270.57066
MSC:
57Q45
On slope genera of knotted tori in 4-space. (English) Zbl 1268.57011
Reviewer: Inasa Nakamura (Tokyo)
MSC:
57Q45
20F12
On diffeomorphisms over nonorientable surfaces standardly embedded in the 4-sphere. (English) Zbl 1244.57043
Reviewer: Inasa Nakamura (Tokyo)
Knotted surfaces in 3-space with simple fold projections. (English) Zbl 1215.57011
Reviewer: Michael Farber (Zürich)
MSC:
57Q45
Homology groups of symmetric quandles and cocycle invariants of links and surface-links. (English) Zbl 1220.57016
Reviewer: Pedro Lopes (Nottingham)
Towards invariants of surfaces in 4-space via classical link invariants. (English) Zbl 1160.57021
Reviewer: Michael Farber (Durham)
MSC:
57Q45
57M25
Surfaces in 4-manifolds and their mapping class groups. (English) Zbl 1197.57019
Reviewer: Maciej Niebrzydowski (Lafayette)
MSC:
57M99
Topological triviality of smoothly knotted surfaces in 4-manifolds. (English) Zbl 1204.57035
MSC:
57R57
Invariants of surface links in \(\mathbb R^4\) via skein relation. (English) Zbl 1169.57024
Reviewer: Pedro Lopes (Lisbon)
MSC:
57Q45
57M25
Knotted Seifert surfaces and unknotted Seifert surfaces. (English) Zbl 1148.57012
MSC:
57M25
On the combinatorics of Carter-Rieger-Saito movies in the theory of smoothly knotted surfaces in \(\mathbb R^4\). (English) Zbl 1142.57012
Etingof, Pavel (ed.) et al., Israel mathematical conference proceedings. Quantum groups. Proceedings of a conference in memory of Joseph Donin, Haifa, Israel, July 5–12, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3713-9/pbk). Contemporary Mathematics 433, 311-336 (2007).
Reviewer: Athanase Papadopoulos (Strasbourg)
MSC:
57Q45
18D05
Invariants of surface links in \(\mathbb R^4\) via classical link invariants. (English) Zbl 1128.57025
Carter, J. Scott (ed.) et al., Intelligence of low dimensional topology 2006, Hiroshima, Japan July 22–26, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-593-8/hbk). Series on Knots and Everything 40, 189-196 (2007).
Reviewer: Athanase Papadopoulos (Strasbourg)
MSC:
57Q45
57M25
Inequivalent surface-knots with the same knot quandle. (English) Zbl 1131.57026
Reviewer: Hitoshi Murakami (Tokyo)
MSC:
57Q45
57M25
57M27
On surface braids of index four with at most two crossings. (English) Zbl 1088.57017
Reviewer: Michael Farber (Zürich)
MSC:
57Q45
57Q35
Triple point numbers and quandle cocycle invariants of knotted surfaces in 4-space. (English) Zbl 1084.57022
Reviewer: Dieter Erle (Dortmund)
An infinite family of non-invertible surfaces in 4-space. (English) Zbl 1071.57023
Reviewer: Claus Ernst (Bowling Green)
MSC:
57Q45
57R42
Canceling branch points and cusps on projections of knotted surfaces in \(4\)-space. (English) Zbl 1052.57033
Reviewer: Athanase Papadopoulos (Strasbourg)
MSC:
57Q45
57R45
A four-dimensional analogy of torus links. (English) Zbl 1028.57021
Reviewer: C.Kearton (Durham)
MSC:
57Q45
Totally knotted Seifert surfaces with accidental peripherals. (English) Zbl 1039.57003
Reviewer: Jianyuan Kathy Zhong (Sacramento)
MSC:
57M25
57M10
A family of two-component links of real projective planes in the four-sphere. (English) Zbl 1028.57022
Reviewer: I.Ivanšić (Zagreb)
MSC:
57Q45
57R65
Immersed surfaces and their lifts. (English) Zbl 1007.57022
Reviewer: Ivan Ivanšić (Zagreb)
Lifting a generic surface in 3-space to an embedded surface in 4-space. (English) Zbl 0973.57009
Reviewer: I.Ivanšić (Zagreb)
MSC:
57Q45
57Q35
Knotted surfaces and their diagrams. (English) Zbl 0904.57010
Mathematical Surveys and Monographs. 55. Providence, RI: American Mathematical Society (AMS). xi, 258 p. (1998).
Reviewer: I.Ivanšić (Zagreb)
MSC:
57Q45
57-02
A Seifert algorithm for knotted surfaces. (English) Zbl 0865.57022
Reviewer: H.Murakami (Tokyo)
MSC:
57Q45
57M25
Braids and movies. (English) Zbl 0889.57034
MSC:
57Q45
57M25
The peripheral subground and the second homology of the group of a knotted torus in \(S^ 4\). (English) Zbl 0871.57025
Reviewer: J.A.Hillman (Sydney)
MSC:
57Q45
An enumeration of surfaces in four-space. (English) Zbl 0861.57033
Reviewer: U.Kaiser (Siegen)
MSC:
57Q45
Knotted surfaces, braid movies, and beyond. (English) Zbl 0859.57027
Baez, John (ed.), Knots and quantum gravity. Proceedings of a workshop on knots and quantum gravity, held on May 14th-16th at the University of California at Riverside, CA (USA). Oxford: Clarendon Press (ISBN 0-19-853490-6/pbk). Oxford Lecture Series in Mathematics and its Applications 1, 191-229 (1994).
Reviewer: W.Sarlet (Gent)
MSC:
57Q45
Topology of knots. (English) Zbl 0799.57003
Moffatt, H. K. (ed.) et al., Topological aspects of the dynamics of fluids and plasmas. Proceedings of the program of the Institute for Theoretical Physics, University of California at Santa Barbara, USA and of the NATO advanced research workshop on topological aspects of the dynamics of fluids and plasmas, University of California at Santa Barbara, USA, November 1-5, 1991. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. E, Appl. Sci. 218, 65-82 (1992).
MSC:
57M25
Syzygies among elementary string interactions in 2+1 dimensions. (English) Zbl 0744.57010
Reviewer: J.S.Carter
The first Alexander modules of surfaces in 4-sphere. (English) Zbl 0738.57010
Algebra and topology, Proc. 5th Math. Workshop, Taejon/Korea 1990, Proc. KIT Math. Workshop 5, 81-89 (1990).
Reviewer: J.Vrabec (Ljubljana)
The second homology of the group of a knotted surface. (English) Zbl 0506.57013
MSC:
57Q45
57N13
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