176 citations · 1.3k across the 156 of their papers we have counts for
12 papers · 1 filter
Parity, Skein Polynomials and Categorification
Aaron Kaestner, Louis H. Kauffman
We investigate an application of crossing parity for the bracket expansion of the Jones polynomial for virtual knots. In addition we consider an application of parity for the arrow…
Eigenforms and Quantum Physics
Louis H. Kauffman
This essay is a discussion of Heinz von Foerster's concept of eigenform and its relationship with the foundations of physics.
Non-Commutative Worlds and Classical Constraints
Louis H. Kauffman
This paper reviews results about discrete physics and non-commutative worlds and explores further the structure and consequences of constraints linking classical calculus and discr…
Emergent Braided Matter of Quantum Geometry
Sundance Bilson-Thompson, Jonathan Hackett, Louis Kauffman +1
We review and present a few new results of the program of emergent matter as braid excitations of quantum geometry that is represented by braided ribbon networks. These networks ar…
An Introduction to Khovanov Homology
Louis H. Kauffman
This paper is an introduction to Khovanov homology, starting with the Kauffman bracket state summation, emphasizing the Bar-Natan Canopoloy and tangle cobordism approach. The paper…
Reduced Relative Tutte, Kauffman Bracket and Jones Polynomials of Virtual Link Families
Louis H. Kauffman, Slavik V. Jablan, Ljiljana Radovic +1
This paper contains general formulae for the reduced relative Tutte, Kauffman bracket and Jones polynomials of families of virtual knots and links given in Conway notation and disc…