C Berger, B Fresse - Mathematical Proceedings of the Cambridge …, 2004 - cambridge.org
A classical E-infinity operad is formed by the bar construction of the symmetric groups. Such an operad has been introduced by M. Barratt and P. Eccles in the context of simplicial sets in …
We prove an analogue of the Poincaré-Birkhoff-Witt theorem and of the Cartier-Milnor-Moore theorem for non-cocommutative Hopf algebras. The primitive part of a cofree Hopf algebra is …
J Francis - Compositio Mathematica, 2013 - cambridge.org
The tangent complex and Hochschild cohomology of En-rings Page 1 COMPOSITIO MATHEMATICA The tangent complex and Hochschild cohomology of Sn-rings John Francis …
M Markl, E Remm - Journal of Algebra, 2006 - Elsevier
We investigate algebras with one operation. We study when these algebras form a monoidal category and analyze Koszulness and cyclicity of the corresponding operads. We also …
We extend the bar–cobar adjunction to operads and properads, not necessarily augmented. Due to the default of augmentation, the objects of the dual category are endowed with a …
D Petersen - Compositio Mathematica, 2020 - cambridge.org
Let $ X $ be a topological space. We consider certain generalized configuration spaces of points on $ X $, obtained from the cartesian product $ X^{n} $ by removing some …
D Chataur - International Mathematics Research Notices, 2005 - ieeexplore.ieee.org
Using intersection theory in the context of Hilbert manifolds and geometric homology, we show how to recover the main operations of string topology built by M. Chas and D. Sullivan …
D Calaque, T Willwacher - Proceedings of the American Mathematical …, 2015 - ams.org
It is noted that the higher version of M. Kontsevich's Formality Theorem is much easier than the original one. Namely, we prove that the higher Hochschild-Kostant-Rosenberg map …