×
Author ID: fenn.roger-a Recent zbMATH articles by "Fenn, Roger A."
Published as: Fenn, Roger; Fenn, R.; Fenn, R. A.; Fenn, Roger A.
all top 5

Co-Authors

20 single-authored
14 Rourke, Colin P.
11 Bartholomew, Andrew
5 Kamada, Naoko
5 Kamada, Seiichi
5 Sanderson, Brian J.
4 Sjerve, Denis K.
3 Kauffman, Louis Hirsch
3 Rimányi, Richárd
3 Rolfsen, Dale
3 Turaev, Vladimir Georgievich
2 Budden, Stephen
2 Keyman, Ebru
2 Manturov, Vassiliĭ Olegovich
1 Andersen, Jørgen Ellegaard
1 Azcan, Hüseyin
1 Bar-Natan, Dror
1 Bardakov, Valeriĭ Georgievich
1 Bartholomew, Andy
1 Baseilhac, Stéphane
1 Benedetti, Riccardo
1 Boileau, Michel Charles
1 Budden, Steve
1 Carter, J. Scott
1 Chrisman, Micah Whitney
1 Chu, Karene
1 Deloup, Florian L.
1 Dunfield, Nathan M.
1 Dunwoody, Martin John
1 Ferrand, Emmanuel
1 Garoufalidis, Stavros
1 Goussarov, Mikhail
1 Greene, Michael T.
1 Guadagnini, Enore
1 Habiro, H.
1 Hansen, Søren Kold
1 Harikae, Toshio
1 Hilton, Peter John
1 Ibáñez-Varela, Raúl
1 Il’yutko, Denis Petrovich
1 Jin, Gyo Taek
1 Jones, Vaughan Frederick Randal
1 Jordan-Santana, Mercedes
1 Kashaev, Rinat M.
1 Kawahigashi, Yasuyuki
1 Kerler, Thomas
1 Kidwell, Mark Elliot
1 Kohno, Toshitake
1 Kricker, Andrew
1 Le, Thang Tu Quoc
1 Lescop, Christine
1 Masbaum, Gregor
1 Massuyeau, Gwénaël
1 Morton, Hugh R.
1 Murakami, Hitoshi
1 Murakami, Jun
1 Nakanishi, Yasutaka
1 Ohtsuki, Tomotada
1 Ohyama, Yoshiyuki
1 Okamoto, Miyuki
1 Okuda, Nobuki
1 Pilo, Luigi
1 Polyak, Michael
1 Przytycki, Józef Henryk
1 Rozansky, Lev
1 Sato, Nobuya
1 Stanford, Theodore B.
1 Stoimenow, Alexander
1 Takata, Toshie
1 Thurston, Dylan Paul
1 Viro, Oleg Ya.
1 Wiest, Bertold
1 Willerton, Simon
1 Yokota, Yoshiyuki
1 Zhu, Jun

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 971 times in 673 Documents Cited by Year
Racks and links in codimension two. Zbl 0787.57003
Fenn, Roger; Rourke, Colin
221
1992
Trunks and classifying spaces. Zbl 0853.55021
Fenn, Roger; Rourke, Colin; Sanderson, Brian
102
1995
The braid-permutation group. Zbl 0861.57010
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
85
1997
Biquandles and virtual links. Zbl 1063.57006
Fenn, Roger; Jordan-Santana, Mercedes; Kauffman, Louis
69
2004
James bundles. Zbl 1055.55005
Fenn, Roger; Rourke, Colin; Sanderson, Brian
53
2004
Techniques of geometric topology. Zbl 0517.57001
Fenn, Roger A.
50
1983
On Kirby’s calculus of links. Zbl 0413.57006
Fenn, Roger; Rourke, Colin
48
1979
The rack space. Zbl 1123.55006
Fenn, Roger; Rourke, Colin; Sanderson, Brian
38
2007
Ordering the braid groups. Zbl 1009.20042
Fenn, R.; Greene, M. T.; Rolfsen, D.; Rourke, C.; Wiest, B.
32
1999
Virtual knot theory – unsolved problems. Zbl 1084.57005
Fenn, Roger; Kauffman, Louis H.; Manturov, Vassily O.
32
2005
Quaternionic invariants of virtual knots and links. Zbl 1149.57301
Bartholomew, Andrew; Fenn, Roger
31
2008
An introduction to species and the rack space. Zbl 0828.57005
Fenn, Roger; Rourke, Colin; Sanderson, Brian
28
1993
Centralisers in the braid group and singular braid monoid. Zbl 0869.20024
Fenn, Roger; Rolfsen, Dale; Zhu, Jun
23
1996
The singular baid monoid embeds in a group. Zbl 0971.57011
Fenn, Roger; Keyman, Ebru; Rourke, Colin
22
1998
Introducing doodles. Zbl 0409.57003
Fenn, Roger; Taylor, Paul
15
1979
Weyl algebras and knots. Zbl 1123.57006
Fenn, Roger; Turaev, Vladimir
14
2007
Doodles on surfaces. Zbl 1403.57003
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
13
2018
Klyachko’s methods and the solution of equations over torsion-free groups. Zbl 0861.20029
Fenn, Roger; Rourke, Colin
11
1996
Spheres may link homotopically in 4-space. Zbl 0603.57011
Fenn, Roger; Rolfsen, Dale
11
1986
The equation \([B,(A-1)(A,B)]=0\) and virtual knots and links. Zbl 1070.57003
Budden, Stephen; Fenn, Roger
11
2004
Unsolved problems in virtual knot theory and combinatorial knot theory. Zbl 1310.57010
Fenn, Roger; Ilyutko, Denis P.; Kauffman, Louis H.; Manturov, Vassily O.
9
2014
Biquandles of small size and some invariants of virtual and welded knots. Zbl 1226.57006
Bartholomew, Andrew; Fenn, Roger
8
2011
Tackling the trefoils. Zbl 1275.57008
Fenn, Roger
8
2012
Massey products and lower central series of free groups. Zbl 0643.57002
Fenn, Roger; Sjerve, Denis
6
1987
Some remarks on the braid-permutation group. Zbl 0830.57005
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
6
1993
Basic commutators and minimal Massey products. Zbl 0561.55015
Fenn, Roger; Sjerve, Denis
5
1984
The table theorem. Zbl 0194.53901
Fenn, Roger
5
1970
Generalised biquandles for generalised knot theories. Zbl 1409.57006
Fenn, Roger
5
2015
On Gauss codes of virtual doodles. Zbl 1411.57007
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
5
2018
Boundary links are homotopy trivial. Zbl 0655.57003
Cervantes, L.; Fenn, R. A.
4
1988
Embedding polyhedra. Zbl 0207.53105
Fenn, R.
4
1970
On the finiteness of higher knot sums. Zbl 0623.57013
Dunwoody, M. J.; Fenn, R. A.
4
1987
Quaternion algebras and invariants of virtual knots and links I: the elliptic case. Zbl 1158.57008
Fenn, Roger
4
2008
Colorings and doubled colorings of virtual doodles. Zbl 1419.57022
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
4
2019
Characterisation of a class of equations with solutions over torsion-free groups. Zbl 0913.20018
Fenn, Roger; Rourke, Colin
3
1998
Some generalizations of the Borsuk-Ulam theorem and applications to realizing homotopy classes by embedded spheres. Zbl 0268.55008
Fenn, Roger
3
1973
Nice spines of 3-manifolds. Zbl 0406.57002
Fenn, Roger; Rourke, Colin
3
1979
Biquandles and their application to virtual knots and links. Zbl 1180.57021
Fenn, Roger
2
2009
On Dehn’s lemma in 4 dimensions. Zbl 0215.52003
Fenn, R.
2
1971
Quaternion algebras and invariants of virtual knots and links II: the hyperbolic case. Zbl 1159.57002
Budden, Stephen; Fenn, Roger
2
2008
Duality and cohomology for one relator groups. Zbl 0518.20041
Fenn, Roger; Sjerve, Denis
1
1982
Geometric cohomology theory. Zbl 0522.55008
Fenn, Roger; Sjerve, Denis
1
1983
What is the geometry of a surface? Zbl 0528.57006
Fenn, Roger
1
1983
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
Some applications of the width and breadth of a closed curve to the two- dimensional sphere. Zbl 0301.50005
Fenn, Roger
1
1975
Vassiliev theory for knots. Zbl 0865.57006
Fenn, Roger
1
1994
Topology of low-dimensional manifolds. Proceedings of the second Sussex conference, 1977. Zbl 0397.00013
1
1979
Colorings and doubled colorings of virtual doodles. Zbl 1419.57022
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
4
2019
Doodles on surfaces. Zbl 1403.57003
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
13
2018
On Gauss codes of virtual doodles. Zbl 1411.57007
Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi
5
2018
Generalised biquandles for generalised knot theories. Zbl 1409.57006
Fenn, Roger
5
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.
9
2014
Tackling the trefoils. Zbl 1275.57008
Fenn, Roger
8
2012
Biquandles of small size and some invariants of virtual and welded knots. Zbl 1226.57006
Bartholomew, Andrew; Fenn, Roger
8
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
31
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
38
2007
Weyl algebras and knots. Zbl 1123.57006
Fenn, Roger; Turaev, Vladimir
14
2007
Virtual knot theory – unsolved problems. Zbl 1084.57005
Fenn, Roger; Kauffman, Louis H.; Manturov, Vassily O.
32
2005
Biquandles and virtual links. Zbl 1063.57006
Fenn, Roger; Jordan-Santana, Mercedes; Kauffman, Louis
69
2004
James bundles. Zbl 1055.55005
Fenn, Roger; Rourke, Colin; Sanderson, Brian
53
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.
32
1999
The singular baid monoid embeds in a group. Zbl 0971.57011
Fenn, Roger; Keyman, Ebru; Rourke, Colin
22
1998
Characterisation of a class of equations with solutions over torsion-free groups. Zbl 0913.20018
Fenn, Roger; Rourke, Colin
3
1998
The braid-permutation group. Zbl 0861.57010
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
85
1997
Centralisers in the braid group and singular braid monoid. Zbl 0869.20024
Fenn, Roger; Rolfsen, Dale; Zhu, Jun
23
1996
Klyachko’s methods and the solution of equations over torsion-free groups. Zbl 0861.20029
Fenn, Roger; Rourke, Colin
11
1996
Trunks and classifying spaces. Zbl 0853.55021
Fenn, Roger; Rourke, Colin; Sanderson, Brian
102
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
28
1993
Some remarks on the braid-permutation group. Zbl 0830.57005
Fenn, Roger; Rimányi, Richárd; Rourke, Colin
6
1993
Racks and links in codimension two. Zbl 0787.57003
Fenn, Roger; Rourke, Colin
221
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
5
1984
Techniques of geometric topology. Zbl 0517.57001
Fenn, Roger A.
50
1983
Geometric cohomology theory. Zbl 0522.55008
Fenn, Roger; Sjerve, Denis
1
1983
What is the geometry of a surface? Zbl 0528.57006
Fenn, Roger
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
48
1979
Introducing doodles. Zbl 0409.57003
Fenn, Roger; Taylor, Paul
15
1979
Nice spines of 3-manifolds. Zbl 0406.57002
Fenn, Roger; Rourke, Colin
3
1979
Topology of low-dimensional manifolds. Proceedings of the second Sussex conference, 1977. Zbl 0397.00013
1
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.
4
1970
all top 5

Cited by 586 Authors

41 Nelson, Sam
25 Kamada, Seiichi
25 Saito, Masahico
23 Kauffman, Louis Hirsch
20 Bardakov, Valeriĭ Georgievich
20 Przytycki, Józef Henryk
17 Carter, J. Scott
16 Elhamdadi, Mohamed
16 Oshiro, Kanako
14 Lebed, Victoria
14 Manturov, Vassiliĭ Olegovich
14 Singh, Mahender
11 Bellingeri, Paolo
11 Nosaka, Takefumi
10 Dehornoy, Patrick
10 Satoh, Shin
10 Yasuhara, Akira
9 Bartholomew, Andrew
9 Fenn, Roger A.
9 Ishii, Atsushi
9 Nasybullov, Timur Rinatovich
9 Niebrzydowski, Maciej
8 Kamada, Naoko
8 Rump, Wolfgang
7 Ito, Tetsuya
7 Vendramin, Leandro
7 Wada, Kodai
7 Yang, Seung Yeop
6 Chrisman, Micah Whitney
6 Crans, Alissa S.
6 Dye, Heather Ann
6 Iwakiri, Masahide
6 Klyachko, Anton Aleksandrovich
6 Lambropoulou, Sofia S. F.
6 Lee, Sang Youl
6 Miyazawa, Haruko Aida
6 Paris, Luis
6 Rolfsen, Dale
6 Tanaka, Kokoro
6 Vershinin, Vladimir V.
6 Wiest, Bertold
6 Zappala, Emanuele
5 Cheng, Zhiyun
5 Clark, W. Edwin
5 Horvat, Eva
5 Jelsovsky, Daniel
5 Kim, Jieon
5 Mináč, Ján
5 Rourke, Colin P.
5 Turaev, Vladimir Georgievich
4 Bae, Yongju
4 Dabkowski, Mieczysław K.
4 Damiani, Celeste
4 Efrat, Ido
4 Farinati, Marco Andrés
4 Gongopadhyay, Krishnendu
4 Hoste, Jim
4 Il’yutko, Denis Petrovich
4 Inoue, Ayumu
4 Kozlovskaya, Tatyana Anatolevna
4 Melikhov, Sergey Aleksandrovich
4 Mellor, Blake
4 Nakanishi, Yasutaka
4 Neshchadim, Mikhail Vladimirovich
4 Nguyêñ Duy Tân
4 Oyamaguchi, Natsumi
4 Rowell, Eric C.
4 Sanderson, Brian J.
4 Shanahan, Patrick D.
4 Stanovský, David
4 Suciu, Alexander I.
4 Vesnin, Andrei Yu.
4 Wagemann, Friedrich
4 Winter, Blake Karl
3 Bonatto, Marco
3 Cattabriga, Alessia
3 Ceniceros, Jose
3 Covez, Simon
3 Edjvet, Martin
3 Eisermann, Michael
3 Gao, Hongzhu
3 Garoufalidis, Stavros
3 Godelle, Eddy
3 González-Meneses, Juan
3 Graña, Matías
3 Gügümcü, Neslihan
3 Habiro, Kazuo
3 Jedlička, Přemysl
3 Juyumaya, Jesús
3 Kaestner, Aaron M.
3 Kim, Byeorhi
3 Kim, Joonoh
3 Koschorke, Ulrich
3 Lopes, Pedro
3 Martin, Paul Purdon
3 Matsuzaki, Shosaku
3 Meilhan, Jean-Baptiste
3 Melvin, Paul M.
3 Naik, Tushar Kanta
3 Nanda, Neha
...and 486 more Authors
all top 5

Cited in 123 Serials

196 Journal of Knot Theory and its Ramifications
52 Topology and its Applications
27 Algebraic & Geometric Topology
25 Journal of Algebra
24 Journal of Pure and Applied Algebra
20 Transactions of the American Mathematical Society
16 Communications in Algebra
12 Advances in Mathematics
12 Journal of Algebra and its Applications
10 International Journal of Mathematics
10 Geometry & Topology
9 Osaka Journal of Mathematics
8 Inventiones Mathematicae
8 Proceedings of the American Mathematical Society
8 International Journal of Algebra and Computation
7 Communications in Mathematical Physics
6 Geometriae Dedicata
6 Mathematische Zeitschrift
6 Journal of Group Theory
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Mathematische Annalen
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Forum Mathematicum
5 Proceedings of the Steklov Institute of Mathematics
4 Journal of Mathematical Physics
4 Annales de l’Institut Fourier
4 Fundamenta Mathematicae
4 Glasgow Mathematical Journal
4 Journal of the Mathematical Society of Japan
4 Journal of Mathematical Sciences (New York)
4 Annales Mathématiques Blaise Pascal
3 Theoretical and Mathematical Physics
3 Journal of Geometry and Physics
3 Manuscripta Mathematica
3 Siberian Mathematical Journal
3 Tokyo Journal of Mathematics
3 European Journal of Combinatorics
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Algebraic Combinatorics
3 The Electronic Journal of Combinatorics
3 Journal of the Australian Mathematical Society
3 Mediterranean Journal of Mathematics
2 Israel Journal of Mathematics
2 Mathematical Notes
2 Mathematics of Computation
2 Compositio Mathematica
2 Hiroshima Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of Combinatorial Theory. Series A
2 Kyungpook Mathematical Journal
2 Michigan Mathematical Journal
2 Pacific Journal of Mathematics
2 Semigroup Forum
2 Transactions of the Moscow Mathematical Society
2 Journal of Symbolic Computation
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Expositiones Mathematicae
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Applied Categorical Structures
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 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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 Letters in Mathematical Physics
1 Physica A
1 Rocky Mountain Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Journal of Mathematics
1 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of Combinatorial Theory. Series B
1 Journal of the London Mathematical Society. Second Series
1 Monatshefte für Mathematik
1 Proceedings of the Japan Academy. Series A
1 Annals of Global Analysis and Geometry
1 Journal of the Nigerian Mathematical Society
1 Journal of the American Mathematical Society
1 MSCS. Mathematical Structures in Computer Science
1 Aequationes Mathematicae
1 Archive for Mathematical Logic
1 Russian Mathematics
1 Topological Methods in Nonlinear Analysis
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Electronic Research Announcements of the American Mathematical Society
1 Documenta Mathematica
1 Doklady Mathematics
1 Representation Theory
1 Algebras and Representation Theory
1 Revista Matemática Complutense
1 New Journal of Physics
...and 23 more Serials
all top 5

Cited in 37 Fields

547 Manifolds and cell complexes (57-XX)
244 Group theory and generalizations (20-XX)
83 Algebraic topology (55-XX)
56 Associative rings and algebras (16-XX)
48 Category theory; homological algebra (18-XX)
44 Nonassociative rings and algebras (17-XX)
31 Quantum theory (81-XX)
22 Order, lattices, ordered algebraic structures (06-XX)
20 Combinatorics (05-XX)
14 General algebraic systems (08-XX)
12 Differential geometry (53-XX)
9 Field theory and polynomials (12-XX)
8 Mathematical logic and foundations (03-XX)
6 Computer science (68-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Topological groups, Lie groups (22-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Algebraic geometry (14-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Functional analysis (46-XX)
3 General topology (54-XX)
3 Fluid mechanics (76-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Commutative algebra (13-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 \(K\)-theory (19-XX)
2 Convex and discrete geometry (52-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Functions of a complex variable (30-XX)
1 Abstract harmonic analysis (43-XX)
1 Operator theory (47-XX)
1 Geometry (51-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