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Fenn, Roger A.

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Author ID: fenn.roger-a Recent zbMATH articles by "Fenn, Roger A."
Published as: Fenn, R.; Fenn, R. A.; Fenn, Roger; Fenn, Roger A.
Documents Indexed: 60 Publications since 1970, including 4 Books
Reviewing Activity: 10 Reviews

Publications by Year

Citations contained in zbMATH

47 Publications have been cited 828 times in 566 Documents Cited by Year
Racks and links in codimension two. Zbl 0787.57003
Fenn, Roger; Rourke, Colin
174
1992
Trunks and classifying spaces. Zbl 0853.55021
Fenn, Roger; Rourke, Colin; Sanderson, Brian
87
1995
The braid-permutation group. Zbl 0861.57010
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
63
1997
Biquandles and virtual links. Zbl 1063.57006
Fenn, Roger; Jordan-Santana, Mercedes; Kauffman, Louis
61
2004
James bundles. Zbl 1055.55005
Fenn, Roger; Rourke, Colin; Sanderson, Brian
49
2004
On Kirby’s calculus of links. Zbl 0413.57006
Fenn, Roger; Rourke, Colin
44
1979
Techniques of geometric topology. Zbl 0517.57001
Fenn, Roger A.
43
1983
The rack space. Zbl 1123.55006
Fenn, Roger; Rourke, Colin; Sanderson, Brian
31
2007
Virtual knot theory – unsolved problems. Zbl 1084.57005
Fenn, Roger; Kauffman, Louis H.; Manturov, Vassily O.
28
2005
Ordering the braid groups. Zbl 1009.20042
Fenn, R.; Greene, M. T.; Rolfsen, D.; Rourke, C.; Wiest, B.
28
1999
Quaternionic invariants of virtual knots and links. Zbl 1149.57301
Bartholomew, Andrew; Fenn, Roger
26
2008
An introduction to species and the rack space. Zbl 0828.57005
Fenn, Roger; Rourke, Colin; Sanderson, Brian
22
1993
Centralisers in the braid group and singular braid monoid. Zbl 0869.20024
Fenn, Roger; Rolfsen, Dale; Zhu, Jun
20
1996
The singular baid monoid embeds in a group. Zbl 0971.57011
Fenn, Roger; Keyman, Ebru; Rourke, Colin
16
1998
Weyl algebras and knots. Zbl 1123.57006
Fenn, Roger; Turaev, Vladimir
12
2007
The equation \([B,(A-1)(A,B)]=0\) and virtual knots and links. Zbl 1070.57003
Budden, Stephen; Fenn, Roger
11
2004
Spheres may link homotopically in 4-space. Zbl 0603.57011
Fenn, Roger; Rolfsen, Dale
11
1986
Klyachko’s methods and the solution of equations over torsion-free groups. Zbl 0861.20029
Fenn, Roger; Rourke, Colin
8
1996
Doodles on surfaces. Zbl 1403.57003
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
7
2018
Introducing doodles. Zbl 0409.57003
Fenn, Roger; Taylor, Paul
7
1979
Biquandles of small size and some invariants of virtual and welded knots. Zbl 1226.57006
Bartholomew, Andrew; Fenn, Roger
6
2011
Massey products and lower central series of free groups. Zbl 0643.57002
Fenn, Roger; Sjerve, Denis
6
1987
Unsolved problems in virtual knot theory and combinatorial knot theory. Zbl 1310.57010
Fenn, Roger; Ilyutko, Denis P.; Kauffman, Louis H.; Manturov, Vassily O.
5
2014
Tackling the trefoils. Zbl 1275.57008
Fenn, Roger
5
2012
Some remarks on the braid-permutation group. Zbl 0830.57005
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
5
1993
The table theorem. Zbl 0194.53901
Fenn, Roger
5
1970
Quaternion algebras and invariants of virtual knots and links I: the elliptic case. Zbl 1158.57008
Fenn, Roger
4
2008
Characterisation of a class of equations with solutions over torsion-free groups. Zbl 0913.20018
Fenn, Roger; Rourke, Colin
4
1998
Boundary links are homotopy trivial. Zbl 0655.57003
Cervantes, L.; Fenn, R. A.
4
1988
On the finiteness of higher knot sums. Zbl 0623.57013
Dunwoody, M. J.; Fenn, R. A.
4
1987
Basic commutators and minimal Massey products. Zbl 0561.55015
Fenn, Roger; Sjerve, Denis
4
1984
Colorings and doubled colorings of virtual doodles. Zbl 1419.57022
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
3
2019
Generalised biquandles for generalised knot theories. Zbl 1409.57006
Fenn, Roger
3
2015
Some generalizations of the Borsuk-Ulam theorem and applications to realizing homotopy classes by embedded spheres. Zbl 0268.55008
Fenn, Roger
3
1973
On Gauss codes of virtual doodles. Zbl 1411.57007
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
2
2018
Biquandles and their application to virtual knots and links. Zbl 1180.57021
Fenn, Roger
2
2009
Quaternion algebras and invariants of virtual knots and links II: the hyperbolic case. Zbl 1159.57002
Budden, Stephen; Fenn, Roger
2
2008
Nice spines of 3-manifolds. Zbl 0406.57002
Fenn, Roger; Rourke, Colin
2
1979
On Dehn’s lemma in 4 dimensions. Zbl 0215.52003
Fenn, R.
2
1971
Embedding polyhedra. Zbl 0207.53105
Fenn, R.
2
1970
New invariants of long virtual knots. Zbl 1260.57004
Bartholomew, Andrew; Fenn, Roger; Kamada, Nakao; Kamada, Seiichi
1
2010
Geometry. Zbl 0959.51001
Fenn, Roger
1
2001
Vassiliev theory for knots. Zbl 0865.57006
Fenn, Roger
1
1994
What is the geometry of a surface? Zbl 0528.57006
Fenn, Roger
1
1983
Geometric cohomology theory. Zbl 0522.55008
Fenn, Roger; Sjerve, Denis
1
1983
Duality and cohomology for one relator groups. Zbl 0518.20041
Fenn, Roger; Sjerve, Denis
1
1982
Some applications of the width and breadth of a closed curve to the two- dimensional sphere. Zbl 0301.50005
Fenn, Roger
1
1975
Colorings and doubled colorings of virtual doodles. Zbl 1419.57022
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
3
2019
Doodles on surfaces. Zbl 1403.57003
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
7
2018
On Gauss codes of virtual doodles. Zbl 1411.57007
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
2
2018
Generalised biquandles for generalised knot theories. Zbl 1409.57006
Fenn, Roger
3
2015
Unsolved problems in virtual knot theory and combinatorial knot theory. Zbl 1310.57010
Fenn, Roger; Ilyutko, Denis P.; Kauffman, Louis H.; Manturov, Vassily O.
5
2014
Tackling the trefoils. Zbl 1275.57008
Fenn, Roger
5
2012
Biquandles of small size and some invariants of virtual and welded knots. Zbl 1226.57006
Bartholomew, Andrew; Fenn, Roger
6
2011
New invariants of long virtual knots. Zbl 1260.57004
Bartholomew, Andrew; Fenn, Roger; Kamada, Nakao; Kamada, Seiichi
1
2010
Biquandles and their application to virtual knots and links. Zbl 1180.57021
Fenn, Roger
2
2009
Quaternionic invariants of virtual knots and links. Zbl 1149.57301
Bartholomew, Andrew; Fenn, Roger
26
2008
Quaternion algebras and invariants of virtual knots and links I: the elliptic case. Zbl 1158.57008
Fenn, Roger
4
2008
Quaternion algebras and invariants of virtual knots and links II: the hyperbolic case. Zbl 1159.57002
Budden, Stephen; Fenn, Roger
2
2008
The rack space. Zbl 1123.55006
Fenn, Roger; Rourke, Colin; Sanderson, Brian
31
2007
Weyl algebras and knots. Zbl 1123.57006
Fenn, Roger; Turaev, Vladimir
12
2007
Virtual knot theory – unsolved problems. Zbl 1084.57005
Fenn, Roger; Kauffman, Louis H.; Manturov, Vassily O.
28
2005
Biquandles and virtual links. Zbl 1063.57006
Fenn, Roger; Jordan-Santana, Mercedes; Kauffman, Louis
61
2004
James bundles. Zbl 1055.55005
Fenn, Roger; Rourke, Colin; Sanderson, Brian
49
2004
The equation \([B,(A-1)(A,B)]=0\) and virtual knots and links. Zbl 1070.57003
Budden, Stephen; Fenn, Roger
11
2004
Geometry. Zbl 0959.51001
Fenn, Roger
1
2001
Ordering the braid groups. Zbl 1009.20042
Fenn, R.; Greene, M. T.; Rolfsen, D.; Rourke, C.; Wiest, B.
28
1999
The singular baid monoid embeds in a group. Zbl 0971.57011
Fenn, Roger; Keyman, Ebru; Rourke, Colin
16
1998
Characterisation of a class of equations with solutions over torsion-free groups. Zbl 0913.20018
Fenn, Roger; Rourke, Colin
4
1998
The braid-permutation group. Zbl 0861.57010
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
63
1997
Centralisers in the braid group and singular braid monoid. Zbl 0869.20024
Fenn, Roger; Rolfsen, Dale; Zhu, Jun
20
1996
Klyachko’s methods and the solution of equations over torsion-free groups. Zbl 0861.20029
Fenn, Roger; Rourke, Colin
8
1996
Trunks and classifying spaces. Zbl 0853.55021
Fenn, Roger; Rourke, Colin; Sanderson, Brian
87
1995
Vassiliev theory for knots. Zbl 0865.57006
Fenn, Roger
1
1994
An introduction to species and the rack space. Zbl 0828.57005
Fenn, Roger; Rourke, Colin; Sanderson, Brian
22
1993
Some remarks on the braid-permutation group. Zbl 0830.57005
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
5
1993
Racks and links in codimension two. Zbl 0787.57003
Fenn, Roger; Rourke, Colin
174
1992
Boundary links are homotopy trivial. Zbl 0655.57003
Cervantes, L.; Fenn, R. A.
4
1988
Massey products and lower central series of free groups. Zbl 0643.57002
Fenn, Roger; Sjerve, Denis
6
1987
On the finiteness of higher knot sums. Zbl 0623.57013
Dunwoody, M. J.; Fenn, R. A.
4
1987
Spheres may link homotopically in 4-space. Zbl 0603.57011
Fenn, Roger; Rolfsen, Dale
11
1986
Basic commutators and minimal Massey products. Zbl 0561.55015
Fenn, Roger; Sjerve, Denis
4
1984
Techniques of geometric topology. Zbl 0517.57001
Fenn, Roger A.
43
1983
What is the geometry of a surface? Zbl 0528.57006
Fenn, Roger
1
1983
Geometric cohomology theory. Zbl 0522.55008
Fenn, Roger; Sjerve, Denis
1
1983
Duality and cohomology for one relator groups. Zbl 0518.20041
Fenn, Roger; Sjerve, Denis
1
1982
On Kirby’s calculus of links. Zbl 0413.57006
Fenn, Roger; Rourke, Colin
44
1979
Introducing doodles. Zbl 0409.57003
Fenn, Roger; Taylor, Paul
7
1979
Nice spines of 3-manifolds. Zbl 0406.57002
Fenn, Roger; Rourke, Colin
2
1979
Some applications of the width and breadth of a closed curve to the two- dimensional sphere. Zbl 0301.50005
Fenn, Roger
1
1975
Some generalizations of the Borsuk-Ulam theorem and applications to realizing homotopy classes by embedded spheres. Zbl 0268.55008
Fenn, Roger
3
1973
On Dehn’s lemma in 4 dimensions. Zbl 0215.52003
Fenn, R.
2
1971
The table theorem. Zbl 0194.53901
Fenn, Roger
5
1970
Embedding polyhedra. Zbl 0207.53105
Fenn, R.
2
1970
all top 5

Cited by 511 Authors

40 Nelson, Sam
21 Kamada, Seiichi
20 Kauffman, Louis Hirsch
20 Saito, Masahico
19 Przytycki, Józef H.
17 Carter, J. Scott
15 Manturov, Vassiliĭ Olegovich
14 Bardakov, Valeriĭ Georgievich
12 Lebed, Victoria
12 Oshiro, Kanako
11 Elhamdadi, Mohamed
11 Fenn, Roger A.
11 Nosaka, Takefumi
10 Dehornoy, Patrick
10 Satoh, Shin
9 Bellingeri, Paolo
8 Niebrzydowski, Maciej
7 Ito, Tetsuya
6 Bartholomew, Andrew
6 Crans, Alissa S.
6 Kamada, Naoko
6 Lambropoulou, Sofia S. F.
6 Lee, Sang Youl
6 Vendramin, Leandro
6 Vershinin, Vladimir V.
6 Wiest, Bertold
5 Clark, W. Edwin
5 Dye, Heather Ann
5 Horvat, Eva
5 Ishii, Atsushi
5 Iwakiri, Masahide
5 Jelsovsky, Daniel
5 Nasybullov, Timur Rinatovich
5 Paris, Luis
5 Rourke, Colin P.
5 Singh, Mahender
5 Turaev, Vladimir G.
5 Yang, Seung Yeop
5 Yasuhara, Akira
4 Bae, Yongju
4 Cheng, Zhiyun
4 Chrisman, Micah Whitney
4 Dabkowski, Mieczysław K.
4 Efrat, Ido
4 Hoste, Jim
4 Il’yutko, Denis Petrovich
4 Kim, Jieon
4 Lopes, Pedro
4 Mináč, Ján
4 Mukherjee, Sujoy
4 Nakanishi, Yasutaka
4 Nguyêñ Duy Tân
4 Rolfsen, Dale
4 Rump, Wolfgang
4 Sanderson, Brian J.
4 Shanahan, Patrick D.
4 Tanaka, Kokoro
4 Wagemann, Friedrich
3 Damiani, Celeste
3 Eisermann, Michael
3 Farinati, Marco Andrés
3 Gao, Hongzhu
3 Garoufalidis, Stavros
3 Godelle, Eddy
3 Gongopadhyay, Krishnendu
3 González-Meneses, Juan
3 Habiro, Kazuo
3 Inoue, Ayumu
3 Jedlička, Přemysl
3 Kaestner, Aaron M.
3 Kim, Byeorhi
3 Kim, Joonoh
3 Klyachko, Anton Aleksandrovich
3 Koschorke, Ulrich
3 Melikhov, Sergey Aleksandrovich
3 Melvin, Paul M.
3 Nanda, Neha
3 Neshchadim, Mikhail Vladimirovich
3 Ohtsuki, Tomotada
3 Oyamaguchi, Natsumi
3 Pilitowska, Agata
3 Rosebrock, Stephan
3 Stanovský, David
3 Suciu, Alexander I.
3 Wada, Kodai
3 Winter, Blake Karl
3 Zamojska-Dzienio, Anna
2 Afanasiev, Denis Mikhailovich
2 Altschuler, Daniel
2 Antony, Noelle
2 Ashihara, Sosuke
2 Audoux, Benjamin
2 Benedetti, Riccardo
2 Bonatto, Marco
2 Calvez, Matthieu
2 Cattabriga, Alessia
2 Ceniceros, Jose
2 Churchill, Indu R. U.
2 Corran, Ruth
2 Coste, Antoine D.
...and 411 more Authors
all top 5

Cited in 112 Serials

172 Journal of Knot Theory and its Ramifications
43 Topology and its Applications
24 Algebraic & Geometric Topology
20 Journal of Pure and Applied Algebra
19 Journal of Algebra
19 Transactions of the American Mathematical Society
15 Communications in Algebra
12 Advances in Mathematics
10 Geometry & Topology
9 International Journal of Mathematics
8 Inventiones Mathematicae
8 Proceedings of the American Mathematical Society
8 International Journal of Algebra and Computation
8 Journal of Algebra and its Applications
6 Communications in Mathematical Physics
6 Mathematische Zeitschrift
6 Osaka Journal of Mathematics
5 Geometriae Dedicata
5 Mathematische Annalen
5 Proceedings of the Steklov Institute of Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Journal of Geometry and Physics
4 Journal of Mathematical Sciences (New York)
4 Annales Mathématiques Blaise Pascal
4 Journal of Group Theory
3 Journal of Mathematical Physics
3 Annales de l’Institut Fourier
3 Journal of Combinatorial Theory. Series B
3 Journal of the Mathematical Society of Japan
3 Manuscripta Mathematica
3 Siberian Mathematical Journal
3 European Journal of Combinatorics
3 Forum Mathematicum
2 Mathematical Notes
2 Theoretical and Mathematical Physics
2 Illinois Journal of Mathematics
2 Journal of Combinatorial Theory. Series A
2 Kyungpook Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Semigroup Forum
2 Tokyo Journal of Mathematics
2 Transactions of the Moscow Mathematical Society
2 Journal of Symbolic Computation
2 Bulletin of the American Mathematical Society. New Series
2 Expositiones Mathematicae
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 St. Petersburg Mathematical Journal
2 The New York Journal of Mathematics
2 Selecta Mathematica. New Series
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Journal of the Australian Mathematical Society
2 Mediterranean Journal of Mathematics
2 Journal of Homotopy and Related Structures
2 Journal of Topology and Analysis
2 Journal of \(K\)-Theory
2 Groups, Complexity, Cryptology
1 Discrete Applied Mathematics
1 Israel Journal of Mathematics
1 Letters in Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Compositio Mathematica
1 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Fundamenta Mathematicae
1 Glasgow Mathematical Journal
1 Hiroshima Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Mathematika
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Theoretical Computer Science
1 Annals of Global Analysis and Geometry
1 Journal of the American Mathematical Society
1 MSCS. Mathematical Structures in Computer Science
1 Aequationes Mathematicae
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Archive for Mathematical Logic
1 Russian Mathematics
1 Journal of Algebraic Combinatorics
1 Applied Categorical Structures
1 The Electronic Journal of Combinatorics
1 Electronic Research Announcements of the American Mathematical Society
1 Documenta Mathematica
1 Doklady Mathematics
1 Representation Theory
1 Revista Matemática Complutense
1 New Journal of Physics
1 Annals of Mathematics. Second Series
1 Qualitative Theory of Dynamical Systems
1 JP Journal of Geometry and Topology
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 International Journal of Quantum Information
1 Foundations of Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
...and 12 more Serials
all top 5

Cited in 37 Fields

458 Manifolds and cell complexes (57-XX)
190 Group theory and generalizations (20-XX)
74 Algebraic topology (55-XX)
39 Category theory; homological algebra (18-XX)
34 Associative rings and algebras (16-XX)
34 Nonassociative rings and algebras (17-XX)
24 Quantum theory (81-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
18 Combinatorics (05-XX)
12 General algebraic systems (08-XX)
12 Differential geometry (53-XX)
8 Field theory and polynomials (12-XX)
7 Computer science (68-XX)
6 Mathematical logic and foundations (03-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 General topology (54-XX)
4 Topological groups, Lie groups (22-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Convex and discrete geometry (52-XX)
3 General and overarching topics; collections (00-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geometry (51-XX)
2 Algebraic geometry (14-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 \(K\)-theory (19-XX)
2 Fluid mechanics (76-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Information and communication theory, circuits (94-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Functions of a complex variable (30-XX)
1 Partial differential equations (35-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Probability theory and stochastic processes (60-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year