On Spineless Cacti, Deligne's Conjecture and Connes--Kreimer's Hopf Algebra
Ralph M. Kaufmann
math.QAarXiv:math/0308005
Abstract
Using a cell model for the little discs operad in terms of spineless cacti we give a minimal common topological operadic formalism for three a priori disparate algebraic structures: (1) a solution to Deligne's conjecture on the Hochschild complex, (2) the Hopf algebra of Connes and Kreimer, and (3) the string topology of Chas and Sullivan.
Create a lesson
Related papers
The weak bialgebra structures on k n
Jingheng Zhou
Characters of Quantum Symmetric Pairs
Philip Schlösser
Bianchi identities in noncommutative geometry
Paolo Aschieri
Centers of quantum Schur superalgebras from Hecke algebras
Qiang Fu, Yingshan Luo, Chengquan Sun
On Split Forms of Fusion Categories
César Galindo
R-matrix via Hasse diagrams
Nikita Kryazhevskikh, Andrey Mudrov, Vladimir Stukopin