Categorical Groups, Knots and Knotted Surfaces (original) (raw)

Cocycle Invariants of Knots, Graphs and Surfaces

Mohamed Elhamdadi

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The 2-GENERALIZED Knot Group Determines the Knot

Walter Neumann

Communications in Contemporary Mathematics, 2008

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On Generalized Knot Groups

Sam Nelson

Journal of Knot Theory and Its Ramifications, 2008

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On knots that are universal

Hugh Hilden

Topology, 1985

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Knots in Four Dimensions and the Fundamental Group

erica whitaker

2003

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On the classification of knots

Ken Perko

Proceedings of the American Mathematical Society, 1974

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Invariants of welded virtual knots via crossed module invariants of knotted surfaces

Louis Kauffman

Compositio Mathematica, 2008

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On the ends of higher dimensional knot groups

John Ratcliffe

Journal of Pure and Applied Algebra, 1981

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Knots, Links, Spatial Graphs, and Algebraic Invariants

Aaron M. Kaestner

Contemporary mathematics, 2017

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Survey on recent invariants on classical knot theory

Jozef Przytycki

2008

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Knot Invariants and Their Implications for Closed Plane Cur Ves

Matt Cardwell

2005

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Cocycle Invariants and Oriented Singular Knots

Mohamed Elhamdadi

Mediterranean Journal of Mathematics, 2021

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Algorithms for Computing Some Invariants for Discrete Knots

david torres

Applied Mathematics, 2013

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Some Fibred Knots with Bi-orderable Knot Groups

Wangshan Lu

2007

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An Invariant for Singular Knots

Sofia Labropoulou

Journal of Knot Theory and Its Ramifications, 2009

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On the Problems of Determining Knots by Their Complements and Knot Complements by Their Groups

jonathan simon

Proceedings of the American Mathematical Society, 1976

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3-coloring and other elementary invariants of knots

Jozef Przytycki

1998

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On knots that divide ribbon knotted surfaces

Anshul Guha

2022

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An algebraic theory of local knottedness. I

Samuel Lomonaco

Transactions of the American Mathematical Society, 1967

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Knot Classification and Enumeration

Nicholas Jackson

1997

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Knots are determined by their complements

Mc Do

Bulletin of The American Mathematical Society, 1989

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Universal cocycle Invariants for singular knots and links

Marco Farinati

arXiv: Geometric Topology, 2019

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Three flavors of twisted invariants of knots

Wolfgang Lueck

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On computational aspects of two classical knot invariants

Pedro Lopes

2007

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Symmetries of fibered knots

Monica Nicolau

Journal of Differential Geometry, 1995

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Geometrically fibred two-knots

Steven Plotnick

Mathematische Annalen, 1990

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Non-triviality of welded knots and ribbon torus-knots

Tumpa Mahato

arXiv (Cornell University), 2024

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The homotopy groups of knots. I. How to compute the algebraic 2-type

Samuel Lomonaco

Pacific Journal of Mathematics, 1981

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Problems on invariants of knots and 3-manifolds

Søren Hansen, Jozef Przytycki

Arxiv preprint math/0406190, 2004

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On the nullity and enclosure genus of wild knots

Jim McPherson

Transactions of the American Mathematical Society, 1969

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On the Classification of Rational Knots

Louis H Kauffman

arXiv: Geometric Topology, 2002

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Casson's invariant and surgery on knots

Darren Long

Proceedings of the Edinburgh Mathematical Society, 1992

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HOMOTOPY TYPE INVARIANTS OF FOUR-DIMENSIONAL KNOT COMPLEMENTS

Alex Suciu

1984

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A one-parameter approach to knot theory

Vitaliy Kurlin

2006

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Graphical Constructions for the sl(3), so(3) and G2 Invariants for Virtual Knots, Virtual Braids and Free Knots

Louis H Kauffman

2014

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