Louis H. Kauffman

Orcid: 0000-0003-4135-8685

Affiliations:
  • University of Illinois at Chicago, Department of Mathematics, USA


According to our database1, Louis H. Kauffman authored at least 94 papers between 1978 and 2024.

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Bibliography

2024
Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density.
Symmetry, March, 2024

2023
Autopoiesis and Eigenform.
Comput., December, 2023

2022
Calculus, Gauge Theory and Noncommutative Worlds.
Symmetry, 2022

Invariants of Bonded Knotoids and Applications to Protein Folding.
Symmetry, 2022

On ribbon graphs and virtual links.
Eur. J. Comb., 2022

2021
Iterants, Majorana Fermions and the Majorana-Dirac Equation.
Symmetry, 2021

Finite type invariants for knotoids.
Eur. J. Comb., 2021

2019
Topological aspects of quantum entanglement.
Quantum Inf. Process., 2019

2018
Correction to: Braiding, Majorana fermions, Fibonacci particles and topological quantum computing.
Quantum Inf. Process., 2018

Braiding, Majorana fermions, Fibonacci particles and topological quantum computing.
Quantum Inf. Process., 2018

Non-Commutative Worlds and Classical Constraints.
Entropy, 2018

Virtual Logic-The Erdos Machine.
Cybern. Hum. Knowing, 2018

2017
Skein Invariants of Links and Their State Sum Models.
Symmetry, 2017

A concise approach to eigenform and reflexivity.
Kybernetes, 2017

Investigation of Bifurcations in the Process Equation.
Int. J. Bifurc. Chaos, 2017

Iterant Algebra.
Entropy, 2017

New invariants of knotoids.
Eur. J. Comb., 2017

Virtual Logic-Cookie and Parabel Discuss Laws of Form.
Cybern. Hum. Knowing, 2017

Imaginary Values.
Cybern. Hum. Knowing, 2017

Virtual Logic-The Logic of Quantum Theory.
Cybern. Hum. Knowing, 2017

2016
Virtual Logic-George Spencer-Brown (2 April 1923 - 25 August 2016).
Cybern. Hum. Knowing, 2016

Virtual Logic-Finite Language and the Imagination of Infinity.
Cybern. Hum. Knowing, 2016

Remembrance of Things Past.
Cybern. Hum. Knowing, 2016

The Unknotting Problem.
Proceedings of the Open Problems in Mathematics., 2016

2015
In Memoriam: Slavik Jablan 1952-2015.
Symmetry, 2015

Virtual Logic-Laws of Form and the Mobius Band.
Cybern. Hum. Knowing, 2015

Foreword: Ranulph Glanville and How to Live the Cybernetics of Unknowing A Festschrift Celebration of the Influence of a Researcher.
Cybern. Hum. Knowing, 2015

Infinite computations and the generic finite.
Appl. Math. Comput., 2015

2014
Unknotting Unknots.
Am. Math. Mon., 2014

Virtual Logic-The Yablo Paradox.
Cybern. Hum. Knowing, 2014

On Creation From Nothing.
Cybern. Hum. Knowing, 2014

Virtual Logic-Set Theory and the Continuum Hypothesis.
Cybern. Hum. Knowing, 2014

Chemlambda, Universality and Self-Multiplication.
Proceedings of the Fourteenth International Conference on the Simulation and Synthesis of Living Systems, 2014

2013
GLC actors, artificial chemical connectomes, topological issues and knots.
CoRR, 2013

Laws of Form and Topology: Presentation and Discussion.
Cybern. Hum. Knowing, 2013

Virtual Logic-Extainers, Containers and the Logic of DNA.
Cybern. Hum. Knowing, 2013

2012
Following Knots down Their Energy Gradients.
Symmetry, 2012

Virtual Logic-The Combinatorial Hierarchy: 'One, Two, Three, Infinity!'.
Cybern. Hum. Knowing, 2012

Categorical pairs and the indicative shift.
Appl. Math. Comput., 2012

2011
Virtual Logic-Number and Imagination.
Cybern. Hum. Knowing, 2011

Eigenforms and Quantum Physics.
Cybern. Hum. Knowing, 2011

Peirce's Existential Graphs.
Cybern. Hum. Knowing, 2011

2010
Virtual Logic - The Square Root of Two.
Cybern. Hum. Knowing, 2010

Virtual Logic-Circularity, Knots and the ASC.
Cybern. Hum. Knowing, 2010

2009
Determinants of Rational Knots.
Discret. Math. Theor. Comput. Sci., 2009

Virtual Logic: Cantor's Paradise and the Parable of Frozen Time.
Cybern. Hum. Knowing, 2009

2008
Topological-Like Features in Diagrammatical Quantum Circuits.
Quantum Inf. Process., 2008

Quantum knots and mosaics.
Quantum Inf. Process., 2008

Virtual Logic: The Berry Paradox and Chaitin's Theory of Algorithmic Complexity.
Cybern. Hum. Knowing, 2008

On the minimum number of colors for knots.
Adv. Appl. Math., 2008

2007
Is Grover's Algorithm a Quantum Hidden Subgroup Algorithm?
Quantum Inf. Process., 2007

Virtual Logic - The Small Machine.
Cybern. Hum. Knowing, 2007

Spin Networks, Quantum Topology and Quantum Computation.
Proceedings of the Logic, 2007

2006
Virtual Boundaries.
Cybern. Hum. Knowing, 2006

2005
Yang-Baxterizations, Universal Quantum Gates and Hamiltonians.
Quantum Inf. Process., 2005

Reformulating the map color theorem.
Discret. Math., 2005

Virtual Logic: The One and the Many.
Cybern. Hum. Knowing, 2005

2004
Virtual Logic-Syllogisms.
Cybern. Hum. Knowing, 2004

Virtual Logic: Fragments Of The Void - Selecta.
Cybern. Hum. Knowing, 2004

On the classification of rational tangles.
Adv. Appl. Math., 2004

2003
Temperely-Lieb Algebras and the Four-Color Theorem.
Comb., 2003

Eigenforms - Objects as Tokens for Eigenbehaviors.
Cybern. Hum. Knowing, 2003

Virtual Logic - Thoughts about Set Theory.
Cybern. Hum. Knowing, 2003

2002
Laws of Form and Form Dynamics.
Cybern. Hum. Knowing, 2002

2001
On the map theorem.
Discret. Math., 2001

Virtual logic - The key to Frege.
Cybern. Hum. Knowing, 2001

Peirce and Spencer-Brown: history and synergies in cybersemiotics.
Cybern. Hum. Knowing, 2001

Virtual logic - reasoning and playing with imaginary boolean values.
Cybern. Hum. Knowing, 2001

On the cybernetics of fixed points.
Cybern. Hum. Knowing, 2001

The mathematics of Charles Sanders Peirce.
Cybern. Hum. Knowing, 2001

2000
Virtual logic - formal arithmetic.
Cybern. Hum. Knowing, 2000

Virtual logic - infinitesimals and zero numbers.
Cybern. Hum. Knowing, 2000

1999
Virtual Knot Theory.
Eur. J. Comb., 1999

Virtual logic - The MetaGame Paradox.
Cybern. Hum. Knowing, 1999

Virtual logic - The Flagg Resolution.
Cybern. Hum. Knowing, 1999

The Process Equation: Formulating and Testing the Process Theory of Systems.
Cybern. Syst., 1999

What Is a Number?
Cybern. Syst., 1999

1998
Virtual logic - The Smullyan Machine.
Cybern. Hum. Knowing, 1998

Virtual Logic - symbolic logic and the calculus of indications.
Cybern. Hum. Knowing, 1998

Virtual logic - self-reference and the calculus of indications.
Cybern. Hum. Knowing, 1998

Virtual logic - the calculus of indications.
Cybern. Hum. Knowing, 1998

The Process Equation.
Cybern. Syst., 1998

1997
Physically-Based Stochastic Simplification of Mathematical Knots.
IEEE Trans. Vis. Comput. Graph., 1997

1996
Untangling Knots by Stochastic Energy Optimization.
Proceedings of the 7th IEEE Visualization Conference, 1996

1994
Visualizing quaternion rotation.
ACM Trans. Graph., 1994

The Conway Polynomial in <i>R</i><sup>3</sup> and in Thickened Surfaces: A New Determinant Formulation.
J. Comb. Theory B, 1994

Knot Automata.
Proceedings of the 24th IEEE International Symposium on Multiple-Valued Logic, 1994

1993
Scientific and artistic investigation of multi-dimensional fractals on the AT&T Pixel Machine.
Vis. Comput., 1993

1992
Decomposition of the vertex group of 3-manifolds.
Discret. Math., 1992

1990
Map coloring and the vector cross product.
J. Comb. Theory B, 1990

Interactive Visualization of Quaternion Julia Sets.
Proceedings of the 1st IEEE Visualization Conference, 1990

1989
A Tutte polynomial for signed graphs.
Discret. Appl. Math., 1989

Ray tracing deterministic 3-D fractals.
Proceedings of the 16th Annual Conference on Computer Graphics and Interactive Techniques, 1989

1978
De Morgan Algebras - completeness and recursion.
Proceedings of the eighth international symposium on Multiple-valued logic, 1978


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