Louis H. Kauffman

Geometry and Topology · 2001–2012

A researcher in the Science corpus: 20 papers; trusts 32 researchers and is trusted by 56 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 113 citations into it; #186 of 7,422 by trust here, #233 by citations
• Mathematical Physics — 71 citations into it; #243 of 8,562 by trust here, #334 by citations
• Discrete Mathematics and Combinatorics — 57 citations into it; #167 of 2,017 by trust here, #110 by citations
• Computational Theory and Mathematics — 23 citations into it; #534 of 12,182 by trust here, #1,437 by citations
• Applied Mathematics — 12 citations into it; #6,756 of 7,620 by trust here, #5,443 by citations
• Mechanical Engineering — 12 citations into it
• Neurology — 12 citations into it
• Artificial Intelligence — 11 citations into it; #22,454 of 35,345 by trust here, #32,362 by citations

Whom Louis H. Kauffman trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. H. Dye
2. Greg Kuperberg
3. Daniel S. Silver
4. R. Fenn
5. Shin Satoh
6. Morwen Thistlethwaite
7. Dror Bar-Natan
8. V. Manturov
9. Oleg Viro
10. J. Scott Carter

Who trusts Louis H. Kauffman overall

1. Zhiyun Cheng
2. Cody Armond
3. Hongzhu Gao
4. V. Manturov
5. Jacob Rasmussen
6. Shelly L. Harvey
7. Eun Soo Lee
8. H. Dye
9. M. Hedden
10. Kazuhiro Hikami

Papers from Louis H. Kauffman's perspective

Ordered by how strongly the researchers Louis H. Kauffman trusts endorse each paper. Same corpus, a different order for every researcher.

1. GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
2. ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
3. Indecomposable Set-Theoretical Solutions to the Quantum Yang–Baxter Equation on a Set with a Prime Number of Elements
4. An Introduction to Knot Theory
5. Grope cobordism of classical knots
6. Knots and Links
7. Virtual Braids
8. What is a virtual link
9. STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
10. On Khovanov’s categorification of the Jones polynomial

Their papers

• An Introduction to Knot Theory (2001) — 1,009 citations
• Virtual knots and links (2005) — 49 citations
• VIRTUAL BRAIDS AND THE L-MOVE (2005) — 75 citations
• An Affine Index Polynomial Invariant of Virtual Knots (2012) — 91 citations
• Journal of Knot Theory and its Ramifications: Introduction (2011) — 55 citations
• INTRODUCTION TO VIRTUAL KNOT THEORY (2011) — 97 citations
• Virtual Crossing Number and the Arrow Polynomial (2008) — 99 citations
• An Extended Bracket Polynomial for Virtual Knots and Links (2007) — 47 citations
• Virtual knot theory-unsolved problems (2005) — 54 citations
• Knot Diagrammatics (2004) — 52 citations
• Braiding operators are universal quantum gates (2004) — 286 citations
• Virtual Braids (2004) — 99 citations
• Biquandles and virtual links (2004) — 154 citations
• Minimal surface representations of virtual knots and links (2004) — 99 citations
• Virtual Biquandles (2004) — 60 citations
• A self-linking invariant of virtual knots (2004) — 91 citations
• Infinite families of links with trivial Jones polynomial (2003) — 91 citations
• Quantum entanglement and topological entanglement (2002) — 142 citations
• On the Classification of Rational Knots (2002) — 58 citations
• Bi-oriented Quantum Algebras, and a Generalized Alexander Polynomial for Virtual Links (2001) — 133 citations