Roger Fenn

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All published works

Action	Title	Year	Authors
+ PDF Chat	Planar Doodles: Their Properties, Codes and Classification	2024	Andrew Bartholomew Roger Fenn
+	Combinatorial Knot Theory	2024	Roger Fenn
+	Planar Doodles: Their Properties, Codes and Classification	2023	Andrew Bartholomew Roger Fenn
+ PDF Chat	Alexander and Markov theorems for generalized knots, I	2022	Andrew Bartholomew Roger Fenn
+ PDF Chat	Doodles and commutator identities	2022	Andrew Bartholomew Roger Fenn Naoko Kamada Seiichi Kamada
+	Alexander and Markov theorems for generalized knots, II generalized braids	2022	Andrew Bartholomew Roger Fenn
+	Doodles and commutator identities	2020	Andrew Bartholomew Roger Fenn Naoko Kamada Seiichi Kamada
+	Colorings and doubled colorings of virtual doodles	2019	Andrew Bartholomew Roger Fenn Naoko Kamada Seiichi Kamada
+	Alexander and Markov Theorems for Generalized Knots, I	2019	Andrew Bartholomew Roger Fenn
+ PDF Chat	Doodles on surfaces	2018	Andrew Bartholomew Roger Fenn Naoko Kamada Seiichi Kamada
+ PDF Chat	On gauss codes of virtual doodles	2018	Andrew Bartholomew Roger Fenn Naoko Kamada Seiichi Kamada
+ PDF Chat	Quandle and Biquandle Homology Calculation in R	2018	Roger Fenn Ansgar Wenzel
+	On Gauss codes of virtual doodles	2018	Andrew Bartholomew Roger Fenn Naoko Kamada Seiichi Kamada
+	Colorings and doubled colorings of virtual doodles	2018	Andrew Bartholomew Roger Fenn Naoko Kamada Seiichi Kamada
+ PDF Chat	Erratum: Biquandles of small size and some invariants of virtual and welded knots	2017	Roger Fenn Andrew Bartholomew
+	Doodles on surfaces I: An introduction to their basic properties	2016	Andrew Bartholomew Roger Fenn Naoko Kamada Seiichi Kamada
+	Doodles on surfaces	2016	Andrew Bartholomew Roger Fenn Naoko Kamada Seiichi Kamada
+	Doodles on surfaces	2016	Andrew Bartholomew Roger Fenn Naoko Kamada Seiichi Kamada
+	Generalised Biquandles for Generalised Knot Theories	2015	Roger Fenn
+	Unsolved Problems in Virtual Knot Theory and Combinatorial Knot Theory	2014	Roger Fenn Denis Petrovich Ilyutko Louis H. Kauffman Vassily Olegovich Manturov
+ PDF Chat	Unsolved problems in virtual knot theory and combinatorial knot theory	2014	Roger Fenn Denis Petrovich Ilyutko Louis H. Kauffman Vassily Olegovich Manturov
+	Unsolved Problems in Virtual Knot Theory and Combinatorial Knot Theory	2014	Roger Fenn Denis Petrovich Ilyutko Louis H. Kauffman Vassily Olegovich Manturov
+	TACKLING THE TREFOILS	2012	Roger Fenn
+	Tackling the Trefoils	2011	Roger Fenn
+	FINDING KNOT INVARIANTS FROM DIAGRAM COLOURING	2011	Roger Fenn
+ PDF Chat	BIQUANDLES OF SMALL SIZE AND SOME INVARIANTS OF VIRTUAL AND WELDED KNOTS	2011	Andrew Bartholomew Roger Fenn
+	Tackling the Trefoils	2011	Roger Fenn
+	Biquandles of Small Size and some Invariants of Virtual and Welded Knots	2010	Andrew Bartholomew Roger Fenn
+	Update of "Biquandles of Small Size and some Invariants of Virtual and Welded Knots"	2010	Andrew Bartholomew Roger Fenn
+	Biquandles of Small Size and some Invariants of Virtual and Welded Knots	2010	Andrew Bartholomew Roger Fenn
+	BIQUANDLES AND THEIR APPLICATION TO VIRTUAL KNOTS AND LINKS	2009	Roger Fenn
+	QUATERNION ALGEBRAS AND INVARIANTS OF VIRTUAL KNOTS AND LINKS II: THE HYPERBOLIC CASE	2008	Stephen Mark Budden Roger Fenn
+ PDF Chat	QUATERNION ALGEBRAS AND INVARIANTS OF VIRTUAL KNOTS AND LINKS I: THE ELLIPTIC CASE	2008	Roger Fenn
+ PDF Chat	QUATERNIONIC INVARIANTS OF VIRTUAL KNOTS AND LINKS	2008	Andrew Bartholomew Roger Fenn
+	New Invariants of Long Virtual Knots	2007	Andrew Bartholomew Roger Fenn Naoko Kamada Seiichi Kamada
+	Weyl algebras and knots	2006	Roger Fenn Vladimir Turaev
+ PDF Chat	The rack space	2006	Roger Fenn Colin Rourke Brian Sanderson
+	Quaternion Algebras and Invariants of Virtual Knots and Links II: The Hyperbolic Case	2006	Steven Budden Roger Fenn
+	Quaternionic Invariants of Virtual Knots and Links	2006	Andrew Bartholomew Roger Fenn
+	Generalized Quaternions and Invariants of Virtual Knots and Links	2005	Roger Fenn
+	Quaternion Algebras and Invariants of Virtual Knots and Links I: The Elliptic Case	2005	Roger Fenn
+ PDF Chat	Virtual knot theory–-unsolved problems	2005	Roger Fenn Louis H. Kauffman Vassily Olegovich Manturov
+	Quaternion Algebras and Invariants of Virtual Knots and Links I: The Elliptic Case	2005	Roger Fenn
+	Biquandles and virtual links	2004	Roger Fenn Mercedes Jordán-Santana Louis H. Kauffman
+ PDF Chat	James bundles	2004	Roger Fenn Colin Rourke Brian Sanderson
+	Problems on invariants of knots and 3-manifolds	2004	Jørgen Ellegaard Andersen Nikos Askitas Dror Bar-Natan Stéphane Baseilhac Riccardo Benedetti Stephen Bigelow Michel Boileau R. Bott J. S. Carter Florian Deloup
+ PDF Chat	The equation [B,(A-1)(A,B)]=0 and virtual knots and links	2004	Stephen Mark Budden Roger Fenn
+	Problems on invariants of knots and 3-manifolds	2004	Jørgen Ellegaard Andersen Nikos Askitas Dror Bar-Natan Stéphane Baseilhac Riccardo Benedetti Stephen Bigelow Michel Boileau R. Bott J. S. Carter Florian Deloup
+	Virtual Knot Theory --Unsolved Problems	2004	Roger Fenn Louis H. Kauffman Vassily Olegovich Manturov
+	The rack space	2003	Roger Fenn Colin Rourke Brian Sanderson
+	James bundles	2003	Roger Fenn Colin Rourke Brian J. Sanderson
+	The rack space	2003	Roger Fenn Colin Rourke Brian Sanderson
+	Laces: A generalisation of braids	2001	Roger Fenn Gyo Taek Jin Richárd Rimányi
+	ON A QUESTION OF DEHORNOY CONCERNING BRAIDS	2001	Roger Fenn Raúl Ibáñez-Varela
+	The Geometry of the Euclidean Plane	2001	Roger Fenn
+	The Geometry of Complex Numbers	2001	Roger Fenn
+	The Geometry of Numbers	2001	Roger Fenn
+	Spherical Geometry	2001	Roger Fenn
+	Projective Geometry	2001	Roger Fenn
+	Coordinate Geometry	2001	Roger Fenn
+	Geometry	2001	Roger Fenn
+	Solid Geometry	2001	Roger Fenn
+	Conics and Quadric Surfaces	2001	Roger Fenn
+	Quaternions and Octonions	2001	Roger Fenn
+	Extended Braids and Links	2000	Roger Fenn Ebru Keyman
+ PDF Chat	Ordering the braid groups	1999	Roger Fenn Michael T Greene Dale Rolfsen C. P. Rourke Bert Wiest
+	THE SINGULAR BRAID MONOID EMBEDS IN A GROUP	1998	Roger Fenn Ebru Keyman Colin Rourke
+	Characterisation of a class of equations with solutions over torsion-free groups	1998	Roger Fenn Colin Rourke
+	Characterisation of a class of equations with solutions over torsion-free groups	1998	Roger Fenn Colin Rourke
+	Ordering the braid groups	1998	Roger Fenn Michael T Greene Dale Rolfsen Colin Rourke Bert Wiest
+	Characterisation of a class of equations with solutions over torsion-free groups	1998	Roger Fenn Colin Rourke
+	Ordering the braid groups	1998	Roger Fenn Michael T Greene Dale Rolfsen Colin Rourke Bert Wiest
+	The braid-permutation group	1997	Roger Fenn Richárd Rimányi Colin Rourke
+	Centralisers in the braid group and singular braid monoid	1996	Roger Fenn Dale Rolfsen Jun Zhu
+	Trunks and classifying spaces	1995	Roger Fenn Colin Rourke Brian Sanderson
+	An Introduction to Species and the Rack Space	1993	Roger Fenn Colin Rourke Brian Sanderson
+	Some Remarks on the Braid-Permutation Group	1993	Roger Fenn Richárd Rimányi Colin Rourke
+	RACKS AND LINKS IN CODIMENSION TWO	1992	Roger Fenn Colin Rourke
+	On links with one codimension two component	1992	Roger Fenn Peter Hilton
+ PDF Chat	Fibring the complement of the Fenn-Rolfsen Link	1989	Roger Fenn
+	BOUNDARY LINKS ARE HOMOTOPY TRIVIAL	1988	Libis Valdez Roger Fenn
+ PDF Chat	Massey Products and Lower Central Series of Free Groups	1987	Roger Fenn Denis Sjerve
+	On the finiteness of higher knot sums	1987	M. J. Dunwoody Roger Fenn
+	Spheres May Link Homotopically in 4-Space	1986	Roger Fenn Dale Rolfsen
+	Low Dimensional Topology	1985	Roger Fenn
+ PDF Chat	Basic Commutators and Minimal Massey Products	1984	Roger Fenn Denis Sjerve
+	What is the Geometry of a Surface?	1983	Roger Fenn
+	Geometric cohomology theory	1983	Roger Fenn Denis Sjerve
+ PDF Chat	Duality and cohomology for one-relator groups	1982	Roger Fenn Denis Sjerve
+	Nice spines of 3-manifolds	1979	Roger Fenn Colin Rourke
+	On Kirby's calculus of links	1979	Roger Fenn Colin Rourke
+	GEOMETRIC TOPOLOGY IN DIMENSIONS 2 AND 3	1978	Roger Fenn
+	Some Applications of the Width and Breadth of a Closed Curve to the Two-Dimensional Sphere	1975	Roger Fenn
+	Some generalizations of the Borsuk–Ulam theorem and applications to realizing homotopy classes by embedded spheres	1973	Roger Fenn
+ PDF Chat	Cut and Glue Topology	1971	Roger Fenn
+	On Dehn's Lemma in 4 Dimensions	1971	Roger Fenn
+	Topology and Manifolds	1971	Roger Fenn

Common Coauthors

Coauthor	Papers Together
Andrew Bartholomew	23
Colin Rourke	18
Seiichi Kamada	11
Naoko Kamada	11
Brian Sanderson	8
Louis H. Kauffman	6
Dale Rolfsen	5
Vassily Olegovich Manturov	5
Denis Sjerve	4
Richárd Rimányi	3
Vladimir Turaev	3
C. P. Rourke	3
Bert Wiest	3
Denis Petrovich Ilyutko	3
Michael T Greene	3
Ami Haviv	2
Ebru Keyman	2
Lev Rozansky	2
Tomotada Ohtsuki	2
Riccardo Benedetti	2
Andrew Kricker	2
Myeong–Ju Jeong	2
J. S. Carter	2
Dror Bar-Natan	2
Rinat Kashaev	2
Yaichi Shinohara	2
Oleg Viro	2
Stephen Bigelow	2
Stavros Garoufalidis	2
Thomas Kerler	2
Yasuyuki Kawahigashi	2
Emmanuel Ferrand	2
Florian Deloup	2
H. R. Morton	2
Toshio Harikae	2
Nobuya Sato	2
Jun Murakami	2
C. Y. Park	2
Stéphane Baseilhac	2
Dylan P. Thurston	2
Józef H. Przytycki	2
Xinheng Lin	2
N. Okuda	2
Nathan M. Dunfield	2
Toshie Takata	2
Christine Lescop	2
Nikos Askitas	2
Gwénaël Massuyeau	2
Hitoshi Murakami	2
S. K. Hansen	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	RACKS AND LINKS IN CODIMENSION TWO	1992	Roger Fenn Colin Rourke	28
+	Virtual Knot Theory	1999	Louis H. Kauffman	25
+	ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS	2000	Naoko Kamada Seiichi Kamada	19
+ PDF Chat	What is a virtual link?	2003	Greg Kuperberg	16
+	A classifying invariant of knots, the knot quandle	1982	David Joyce	16
+ PDF Chat	The equation [B,(A-1)(A,B)]=0 and virtual knots and links	2004	Stephen Mark Budden Roger Fenn	14
+ PDF Chat	QUATERNIONIC INVARIANTS OF VIRTUAL KNOTS AND LINKS	2008	Andrew Bartholomew Roger Fenn	14
+	Biquandles and virtual links	2004	Roger Fenn Mercedes Jordán-Santana Louis H. Kauffman	12
+	STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS	2002	J. Scott Carter Seiichi Kamada Masahico Saito	12
+ PDF Chat	UNKNOTTING VIRTUAL KNOTS WITH GAUSS DIAGRAM FORBIDDEN MOVES	2001	Sam Nelson	11
+ PDF Chat	QUATERNION ALGEBRAS AND INVARIANTS OF VIRTUAL KNOTS AND LINKS I: THE ELLIPTIC CASE	2008	Roger Fenn	11
+	An Introduction to Species and the Rack Space	1993	Roger Fenn Colin Rourke Brian Sanderson	11
+	Quaternionic determinants	1996	Helmer Aslaksen	10
+	Weyl algebras and knots	2006	Roger Fenn Vladimir Turaev	10
+	The braid-permutation group	1997	Roger Fenn Richárd Rimányi Colin Rourke	10
+	ALEXANDER GROUPS AND VIRTUAL LINKS	2001	Daniel S. Silver Susan Williams	9
+	Trunks and classifying spaces	1995	Roger Fenn Colin Rourke Brian Sanderson	9
+	A NOTE ON NON-CLASSICAL VIRTUAL KNOTS	2004	TOSHIMASA KISHINO Shin Satoh	8
+	FORBIDDEN MOVES UNKNOT A VIRTUAL KNOT	2001	Taizo Kanenobu	8
+	DISTRIBUTIVE GROUPOIDS IN KNOT THEORY	1984	Sergey V. Matveev	8
+	QUATERNION ALGEBRAS AND INVARIANTS OF VIRTUAL KNOTS AND LINKS II: THE HYPERBOLIC CASE	2008	Stephen Mark Budden Roger Fenn	7
+ PDF Chat	Doodle groups	1997	Mikhail Khovanov	7
+	On Alexander-Conway Polynomials for Virtual Knots and Links	1999	Jörg Sawollek	7
+	ON AXIOMS OF BIQUANDLES	2006	David Stanovský	7
+	Indecomposable Set-Theoretical Solutions to the Quantum Yang–Baxter Equation on a Set with a Prime Number of Elements	2001	Pavel Etingof Alexander Soloviev Robert M. Guralnick	6
+	None	2002	Vassily Olegovich Manturov	6
+	Detecting Non-Triviality of Virtual Links	2003	Teruhisa Kadokami	6
+ PDF Chat	POLYNOMIAL INVARIANTS OF VIRTUAL LINKS	2003	Daniel S. Silver Susan Williams	6
+ PDF Chat	BIQUANDLES OF SMALL SIZE AND SOME INVARIANTS OF VIRTUAL AND WELDED KNOTS	2011	Andrew Bartholomew Roger Fenn	6
+	Quandle homology groups, their Betti numbers, and virtual knots	2001	J. Scott Carter Daniel Jelsovsky Seiichi Kamada Masahico Saito	6
+	Braid presentation of virtual knots and welded knots	2007	Seiichi Kamada	5
+	Some evaluations of link polynomials	1986	W. B. R. Lickorish Kenneth C. Millett	5
+ PDF Chat	Quantum field theory and the Jones polynomial	1989	Edward Witten	5
+	GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY	2001	J. Scott Carter Seiichi Kamada Masahico Saito	5
+	Grope cobordism of classical knots	2003	James Conant Peter Teichner	5
+	The algebraic theory of quadratic forms	1973	T. Y. Lam	5
+ PDF Chat	Finite-type invariants of classical and virtual knots	2000	Mikhail Goussarov Michael Polyak Oleg Viro	5
+ PDF Chat	New points of view in knot theory	1993	Joan S. Birman	5
+ PDF Chat	Free fermions and the Alexander-Conway polynomial	1991	Louis H. Kauffman Hubert Saleur	4
+ PDF Chat	Right integrals and invariants of three-manifolds	1999	Louis H. Kauffman	4
+ PDF Chat	ON HOMOLOGY OF VIRTUAL BRAIDS AND BURAU REPRESENTATION	2001	Vladimir Vershinin	4
+	LONG VIRTUAL KNOTS AND THEIR INVARIANTS	2004	Vassily Olegovich Manturov	4
+	KAUFFMAN-LIKE POLYNOMIAL AND CURVES IN 2-SURFACES	2003	Vassily Olegovich Manturov	4
+ PDF Chat	Quandle cohomology and state-sum invariants of knotted curves and surfaces	2003	J. Scott Carter Daniel Jelsovsky Seiichi Kamada Laurel Langford Masahico Saito	4
+ PDF Chat	MATRIX INTEGRALS AND THE GENERATION AND COUNTING OF VIRTUAL TANGLES AND LINKS	2004	Paul Zinn-Justin Jean-Bernard Zuber	4
+	A spanning tree expansion of the jones polynomial	1987	Morwen Thistlethwaite	4
+ PDF Chat	Minimal surface representations of virtual knots and links	2005	Heather A. Dye Louis H. Kauffman	4
+	A Geometric Approach to Homology Theory	1976	S. Buonchristiano C. P. Rourke Brian Sanderson	4
+ PDF Chat	Knot theory and the heuristics of functional integration	2000	Louis H. Kauffman	4
+	Jones polynomials and classical conjectures in knot theory	1987	Kunio Murasugi	4