Hopf Algebras, Renormalization and Noncommutative Geometry

On the Hopf algebra structure of perturbative quantum field theories

Dirk Kreimer · Advances in Theoretical and Mathematical Physics · 1998 · 385 citations · Full text

Hopf Algebra, Representation Theory, Physics +9

Hopf Algebras, Cyclic Cohomology and the Transverse Index Theorem

Alain Connes, Henri Moscovici · Communications in Mathematical Physics · 1998 · 364 citations · Full text

Hopf Algebra, Cyclic Cohomology

On Overlapping Divergences

Dirk Kreimer · Communications in Mathematical Physics · 1999 · 103 citations · Full text

Overlapping Divergences, Variational Analysis, Potential Theory +2

Unknotting the polarized vacuum of quenched QED

D. J. Broadhurst, R. Delbourgo, Dirk Kreimer · Physics Letters B · 1996 · 55 citations · Full text

Quantum Science, Engineering, Quantum Computing +6

Renormalization and Knot Theory

Dirk Kreimer · Journal of Knot Theory and Its Ramifications · 1997 · 30 citations

Geometry Of Number, Algebraic Manipulation, Extent Renormalization +7