Dror Bar-Natan in nLab
Selected writings
On noncommutative probability theory:
- Dror Bar-Natan, Two examples in noncommutative probability, Foundations of Physics, 19 (1989) 97–104 (doi:10.1007/BF00737769)
On Vassiliev knot invariants from perturbative Chern-Simons theory Feynman amplitudes (see also at graph complex):
- Dror Bar-Natan, Perturbative aspects of the Chern-Simons topological quantum field theory, thesis 1991 (spire:323500, proquest:303979053, BarNatanPerturbativeCS91.pdf)
On Vassiliev invariants for knots, the proof that chord diagrams modulo 4T are Jacobi diagrams modulo STU etc.:
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Dror Bar-Natan, On the Vassiliev knot invariants, Topology Volume 34, Issue 2, April 1995, Pages 423-472 (doi:10.1016/0040-9383(95)93237-2, pdf)
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Dror Bar-Natan, Alexander Stoimenow, The Fundamental Theorem of Vassiliev Invariants, in: Geometry and Physics, Lecture Notes in Pure and Applied Mathematics, volume 184, Marcel Dekker Inc. 1996 (arXiv:q-alg/9702009, ISBN:0-8247-9791-4)
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Dror Bar-Natan, Finite Type Invariants, in: J.-P. Francoise, G.L. Naber and Tsou S.T. (eds.) Encyclopedia of Mathematical Physics, Oxford: Elsevier, 2006, volume 2 page 340
On Vassiliev invariants of braids via horizontal chord diagrams:
- Dror Bar-Natan, Vassiliev and Quantum Invariants of Braids, Geom. Topol. Monogr. 4 (2002) 143-160 (arxiv:q-alg/9607001)
Relation of the colored Jones polynomial to Lie algebra weight systems on chord diagrams:
- Dror Bar-Natan, Stavros Garoufalidis, On the Melvin–Morton–Rozansky conjecture, Invent math (1996) 125: 103 (doi:10.1007/s002220050070, pdf)
On the logical equivalence between the four-colour theorem and a statement about transition from the small N limit to the large N limit for Lie algebra weight systems on Jacobi diagrams via the 't Hooft double line construction:
- Dror Bar-Natan, Lie Algebras and the Four Color Theorem, Combinatorica 17-1(1997) 43–52 (arXiv:q-alg/9606016, doi:10.1007/BF01196130)
Computation of the perturbative Wilson loop observable (universal Vassiliev invariant of the unknot (“Wheels theorem”):
- Dror Bar-Natan, Le Tu Quoc Thang, Dylan Thurston, Two applications of elementary knot theory to Lie algebras and Vassiliev invariants, Geom. Topol. Volume 7, Number 1 (2003), 1-31 (euclid.gt/1513883092)
following
- Dror Bar-Natan, Stavros Garoufalidis, Lev Rozansky, Dylan Thurston, Wheels, wheeling, and the Kontsevich integral of the unknot (q-alg/9703025)
List of literature on Vassiliev invariants:
On the cochain cohomology of graph complexes:
- Dror Bar-Natan, Brendan McKay, Graph cohomology – An overview and some computations (pdf)
On the Cayley distance kernel:
- Dror Bar-Natan, AcademicPensieve 2021-05, The Cayley distance kernel following arXiv://2105.0287 by Corfield, Sati, and Schreiber (nb, pdf, pdf)
Last revised on May 7, 2021 at 13:29:10. See the history of this page for a list of all contributions to it.