William Rushworth

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All published works

Action	Title	Year	Authors
+	On knots that divide ribbon knotted surfaces	2024	Hans Bodén Ceyhun Elmacioglu Anshul Guha Homayun Karimi William Rushworth Yun-chi Tang Bryan Wang Peng Jun
+ PDF Chat	On ribbon graphs and virtual links	2022	Scott Baldridge Louis H. Kauffman William Rushworth
+	On knots that divide ribbon knotted surfaces	2022	Hans Bodén Ceyhun Elmacioglu Anshul Guha Homayun Karimi William Rushworth Yun-chi Tang Bryan Wang Peng Jun
+ PDF Chat	Ascent concordance	2021	William Rushworth
+	A parity for 2-colourable links	2021	William Rushworth
+ PDF Chat	Minimal crossing number implies minimal supporting genus	2021	Hans Bodén William Rushworth
+	Generalized Fishburn numbers and torus knots	2020	Colin Bijaoui Hans Bodén Beckham Myers Robert Osburn William Rushworth Aaron Tronsgard Shaoyang Zhou
+	On ribbon graphs and virtual links	2020	Scott Baldridge Louis H. Kauffman William Rushworth
+	On ribbon graphs and virtual links	2020	Scott Baldridge Louis H. Kauffman William Rushworth
+	Ascent concordance	2019	William Rushworth
+	A parity for 2-colourable links	2019	William Rushworth
+	A parity for 2-colourable links	2019	William Rushworth
+	Computations of the slice genus of virtual knots	2018	William Rushworth
+ PDF Chat	Additional gradings on generalizations of Khovanov homology and invariants of embedded surfaces	2018	Vassily Olegovich Manturov William Rushworth
+	Ascent sliceness	2018	William Rushworth
+	Virtual knot homology and concordance	2018	William Rushworth
+	Ascent sliceness	2018	William Rushworth
+ PDF Chat	Doubled Khovanov Homology	2017	William Rushworth
+	On the virtual Rasmussen invariant	2016	William Rushworth

Common Coauthors

Coauthor	Papers Together
Hans Bodén	4
Louis H. Kauffman	3
Scott Baldridge	3
Homayun Karimi	2
Anshul Guha	2
Bryan Wang Peng Jun	2
Ceyhun Elmacioglu	2
Yun-chi Tang	2
Vassily Olegovich Manturov	1
Beckham Myers	1
Colin Bijaoui	1
Aaron Tronsgard	1
Shaoyang Zhou	1
Robert Osburn	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Khovanov homology and the slice genus	2010	Jacob Rasmussen	9
+ PDF Chat	An endomorphism of the Khovanov invariant	2004	Eun Soo Lee	9
+	Virtual Knot Theory	1999	Louis H. Kauffman	9
+ PDF Chat	Doubled Khovanov Homology	2017	William Rushworth	9
+ PDF Chat	Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots	2016	Heather A. Dye Aaron Kaestner Louis H. Kauffman	7
+	Virtual knots: the state of the art	2013	Vassily Olegovich Manturov Denis Petrovich Ilyutko	7
+	ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS	2000	Naoko Kamada Seiichi Kamada	7
+	STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS	2002	J. Scott Carter Seiichi Kamada Masahico Saito	7
+ PDF Chat	A self-linking invariant of virtual knots	2004	Louis H. Kauffman	6
+	Parity in knot theory	2010	Vassily Olegovich Manturov	6
+ PDF Chat	Cobordism of knots on surfaces	2008	Vladimir Turaev	6
+	Virtual Knot Cobordism	2015	Louis H. Kauffman	6
+ PDF Chat	Virtual Khovanov homology using cobordisms	2014	Daniel Tubbenhauer	5
+ PDF Chat	Finite-type invariants of classical and virtual knots	2000	Mikhail Goussarov Michael Polyak Oleg Viro	5
+ PDF Chat	KHOVANOV HOMOLOGY FOR VIRTUAL KNOTS WITH ARBITRARY COEFFICIENTS	2007	Vassily Olegovich Manturov	5
+ PDF Chat	A categorification of the Jones polynomial	2000	Mikhail Khovanov	4
+	Concordance group of virtual knots	2017	Hans Bodén Matthias Nagel	4
+ PDF Chat	On Khovanov’s categorification of the Jones polynomial	2002	Dror Bar-Natan	4
+ PDF Chat	The Karoubi envelope and Lee’s degeneration of Khovanov homology	2006	Dror Bar-Natan Scott Morrison	4
+ PDF Chat	What is a virtual link?	2003	Greg Kuperberg	4
+ PDF Chat	Homotopical Khovanov homology	2015	Vassily Olegovich Manturov Igor Nikonov	3
+ PDF Chat	Khovanov’s homology for tangles and cobordisms	2005	Dror Bar-Natan	3
+	A sliceness criterion for stably odd knots and related results on cobordisms	2017	D. A. Fedoseev Vassily Olegovich Manturov	3
+ PDF Chat	Virtual Knot Cobordism and Bounding the Slice Genus	2018	Hans Bodén Micah Chrisman Robin Gaudreau	3
+ PDF Chat	Computable bounds for Rasmussen’s concordance invariant	2010	Andrew Lobb	3
+ PDF Chat	POLYNOMIAL INVARIANTS OF VIRTUAL LINKS	2003	Daniel S. Silver Susan Williams	3
+	PARITY AND PROJECTION FROM VIRTUAL KNOTS TO CLASSICAL KNOTS	2013	Vassily Olegovich Manturov	3
+ PDF Chat	Bi-oriented quantum algebras, and a generalized Alexander polynomial for virtual links	2003	Louis H. Kauffman David E. Radford	3
+	Parity in knot theory and graph-links	2013	Denis Petrovich Ilyutko Vassily Olegovich Manturov Igor Nikonov	3
+	A Sliceness Criterion for Odd Free Knots	2017	D. A. Fedoseev Vassily Olegovich Manturov	3
+ PDF Chat	Knot Floer homology obstructs ribbon concordance	2019	Ian Zemke	3
+ PDF Chat	Virtual knots undetected by 1- and 2-strand bracket polynomials	2005	Heather A. Dye	3
+	An estimate of the Rasmussen invariant for links and the determination for certain links	2015	Tomomi Kawamura	3
+ PDF Chat	Khovanov homology for alternating tangles	2014	Dror Bar-Natan Hernando Burgos-Soto	2
+ PDF Chat	Knots are determined by their complements	1989	C. McA. Gordon John Luecke	2
+	Minimal generating sets of Reidemeister moves	2010	Michael Polyak	2
+	Parity and Cobordisms of Free Knots	2010	Vassily Olegovich Manturov	2
+	A classifying invariant of knots, the knot quandle	1982	David Joyce	2
+ PDF Chat	A Penrose polynomial for embedded graphs	2012	Joanna A. Ellis-Monaghan Iain Moffatt	2
+	Khovanov homology for virtual links with arbitrary coefficients	2006	Vassily Olegovich Manturov	2
+	On Conway mutation and link homology	2019	Peter Lambert‐Cole	2
+ PDF Chat	AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS	2013	Louis H. Kauffman	2
+	The Penrose polynomial of a plane graph	1997	Martin Aigner	2
+ PDF Chat	UNKNOTTING VIRTUAL KNOTS WITH GAUSS DIAGRAM FORBIDDEN MOVES	2001	Sam Nelson	2
+	State models and the jones polynomial	1987	Louis H. Kauffman	2
+ PDF Chat	The Rasmussen invariant of a homogeneous knot	2010	Tetsuya Abe	2
+ PDF Chat	Compact and long virtual knots	2008	Vassily Olegovich Manturov	2
+ PDF Chat	Band-sums are ribbon concordant to the connected sum	1998	Katura Miyazaki	2
+ PDF Chat	Reformulating the map color theorem	2005	Louis H. Kauffman	2
+	On Alexander-Conway Polynomials for Virtual Knots and Links	1999	Jörg Sawollek	2