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- Louis H. Kauffman

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
56
Citations
16,104
436
World Ranking
524
National Ranking
277

2013 - Fellow of the American Mathematical Society

- Quantum mechanics
- Algebra
- Topology

Louis H. Kauffman spends much of his time researching Combinatorics, Pure mathematics, Bracket polynomial, Knot theory and Jones polynomial. The concepts of his Combinatorics study are interwoven with issues in Alternating knot, Knot complement, Invariant, Knot and Virtual knot. The Pure mathematics study combines topics in areas such as Spin network, Ribbon, Polynomial and Volume.

Specifically, his work in Knot theory is concerned with the study of Skein relation. His biological study spans a wide range of topics, including Finite type invariant and Knot invariant. His work on Kauffman polynomial as part of general Jones polynomial study is frequently linked to HOMFLY polynomial and Unlink, therefore connecting diverse disciplines of science.

- State Models and the Jones Polynomial (1293 citations)
- Virtual Knot Theory (981 citations)
- Knots and physics (698 citations)

Louis H. Kauffman mostly deals with Pure mathematics, Combinatorics, Algebra, Invariant and Knot theory. Louis H. Kauffman has included themes like Skein relation, Jones polynomial, Braid and Bracket polynomial in his Pure mathematics study. His studies in Jones polynomial integrate themes in fields like Quantum algorithm, Khovanov homology and Knot polynomial.

His research integrates issues of Alexander polynomial and Kauffman polynomial in his study of Bracket polynomial. His Combinatorics study integrates concerns from other disciplines, such as Discrete mathematics, Link and Knot. His Knot theory research incorporates themes from Finite type invariant and Topology.

- Pure mathematics (30.51%)
- Combinatorics (23.98%)
- Algebra (15.50%)

- Pure mathematics (30.51%)
- Combinatorics (23.98%)
- Invariant (14.68%)

The scientist’s investigation covers issues in Pure mathematics, Combinatorics, Invariant, Bracket polynomial and Knot. His study in Pure mathematics is interdisciplinary in nature, drawing from both Quantum state, Quantum, Type and Skein relation. His study in Combinatorics concentrates on Knot and Collatz conjecture.

His Knot study combines topics in areas such as Quantum entanglement and Jones polynomial. His Invariant research is multidisciplinary, incorporating perspectives in Virtual knot, Knot theory and Affine transformation. His Bracket polynomial study results in a more complete grasp of Polynomial.

- Virtual Knot Cobordism and the Affine Index Polynomial (10 citations)
- Virtual Knot Cobordism and the Affine Index Polynomial (10 citations)
- Topological aspects of quantum entanglement (9 citations)

- Quantum mechanics
- Algebra
- Topology

Louis H. Kauffman mainly investigates Invariant, Bracket polynomial, Pure mathematics, Topology and Topology. His Invariant research includes elements of Virtual knot and Affine transformation. The various areas that Louis H. Kauffman examines in his Bracket polynomial study include Discrete mathematics, Planar, Knot theory and Combinatorics.

A large part of his Combinatorics studies is devoted to Knot. The study incorporates disciplines such as Ribbon and Skein relation in addition to Pure mathematics. His primary area of study in Skein relation is in the field of Kauffman polynomial.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

State Models and the Jones Polynomial

Louis H. Kauffman.

Topology **(1987)**

2090 Citations

State Models and the Jones Polynomial

Louis H. Kauffman.

Topology **(1987)**

2090 Citations

Virtual Knot Theory

Louis H. Kauffman.

European Journal of Combinatorics **(1999)**

1598 Citations

Virtual Knot Theory

Louis H. Kauffman.

European Journal of Combinatorics **(1999)**

1598 Citations

Knots and physics

Louis H. Kauffman.

**(1991)**

1120 Citations

Knots and physics

Louis H. Kauffman.

**(1991)**

1120 Citations

An invariant of regular isotopy

Louis H. Kauffman.

Transactions of the American Mathematical Society **(1990)**

862 Citations

An invariant of regular isotopy

Louis H. Kauffman.

Transactions of the American Mathematical Society **(1990)**

862 Citations

Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134

Louis H. Kauffman;Sostenes Lins.

**(1994)**

638 Citations

Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134

Louis H. Kauffman;Sostenes Lins.

**(1994)**

638 Citations

Journal of Knot Theory and its Ramifications

(Impact Factor: 0.456)

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