Khovanov homology is equal to the original Jones polynomial. The generators for the chain complex of the Khovanov homology are states of the bracket polynomial decorated with elements of a Frobenius algebra. Kauffman polynomial The Kauffman polynomial is a 2-variable knot polynomial due to Louis Kauffman. It is defined as where is the writhe and is a regular isotopy invariant which generalizes the bracket polynomial. Discrete ordered calculus In 1994, Kauffman and Tom Etter wrote a draft proposal for a non-commutative discrete ordered calculus (DOC), which they presented in revised form in 1996. In the meantime, the theory was presented in a modified form by Kauffman and H. Pierre Noyes together with a presentation of a derivation of free space Maxwell's equations on this basis. Awards and honors He won a Lester R. Ford Award (with Thomas Banchoff) in 1978. Kauffman is the 1993 recipient of the Warren McCulloch award of the American Society for Cybernetics and the 1996 award of the Alternative Natural Philosophy Association for his work in discrete physics. He is the 2014 recipient of the Norbert Wiener award of the American Society for Cybernetics. In 2012 he became a fellow of the American Mathematical Society. Publications Louis H. Kauffman is author of several monographs on knot theory and mathematical physics. His publication list numbers over 170. Books: 1987, On Knots, Princeton University Press 498 pp. 1993, Quantum Topology (Series on Knots & Everything), with Randy A. Baadhio, World Scientific Pub Co Inc, 394 pp. 1994, Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds, with Sostenes Lins, Princeton University Press, 312 pp. 1995, Knots and Applications (Series on Knots and Everything, Vol 6) 1995, The Interface of Knots and Physics: American Mathematical Society Short Course January 2–3, 1995 San Francisco, California (Proceedings of Symposia in Applied Mathematics), with the American Mathematical Society. 1998, Knots at Hellas 98: Proceedings of the International Conference on Knot Theory and Its Ramifications, with Cameron McA. Gordon, Vaughan F. R. Jones and Sofia Lambropoulou, 1999, Ideal Knots, with Andrzej Stasiak and Vsevolod Katritch, World Scientific Publishing Company, 414 pp. 2002, Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (Series on Knots and Everything , Vol 17), with Yumei Dang and Daniel Sandin. 2006, Formal Knot Theory, Dover Publications, 272 pp. 2007, Intelligence of Low Dimensional Topology 2006, with J. Scott Carter and Seiichi Kamada. 2012, Knots and Physics (4th ed.), World Scientific Publishing