J. Scott Carter

Geometry and Topology · 2000–2010

A researcher in the Science corpus: 9 papers; trusts 16 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 69 citations into it; #1,399 of 7,422 by trust here, #714 by citations
• Mathematical Physics — 58 citations into it; #1,699 of 8,562 by trust here, #773 by citations
• Discrete Mathematics and Combinatorics — 24 citations into it
• Algebra and Number Theory — 16 citations into it
• Computational Theory and Mathematics — 7 citations into it

Whom J. Scott Carter trusts overall

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

1. N. Andruskiewitsch
2. S. Kamada
3. Alissa S. Crans
4. R. Fenn
5. David N. Yetter
6. Xiaoxia Lin
7. M. Graña
8. T. Mochizuki
9. Masahico Saito
10. Shin Satoh

Who trusts J. Scott Carter overall

1. Victoria Lebed
2. Louis H. Kauffman
3. Sam Nelson
4. Alexander Hulpke
5. Mohamed Elhamdadi
6. S. Kamada
7. Leandro Vendramin
8. Michael Eisermann
9. B. Ho
10. David Stanovsk'y

Papers from J. Scott Carter's perspective

Ordered by how strongly the researchers J. Scott Carter trusts endorse each paper. Same corpus, a different order for every researcher.

1. From racks to pointed Hopf algebras
2. Indecomposable Set-Theoretical Solutions to the Quantum Yang–Baxter Equation on a Set with a Prime Number of Elements
3. GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
4. Some calculations of cohomology groups of finite Alexander quandles
5. ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
6. The 2-twist-spun trefoil has the triple point number four
7. The Betti numbers of some finite racks
8. 3-coloring and other elementary invariants of knots
9. Lectures on tensor categories and modular functors
10. On the set-theoretical Yang-Baxter equation

Their papers

• A SURVEY OF QUANDLE IDEAS (2010) — 85 citations
• Cohomology of Categorical Self-Distributivity (2006) — 72 citations
• Problems on invariants of knots and 3-manifolds (2004) — 128 citations
• Cocycle knot invariants from quandle modules and generalized quandle homology (2003) — 108 citations
• Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles (2002) — 143 citations
• Extensions of Quandles and Cocycle Knot Invariants (2001) — 76 citations
• Twisted quandle homology theory and cocycle knot invariants (2001) — 70 citations
• GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY (2000) — 120 citations
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS (2000) — 241 citations