Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Horel, Geoffroy"'
Autor:
Horel, Geoffroy
We attack the question of E_2-formality of differential graded algebras over prime fields via obstruction theory. We are able to prove that E_2-algebras whose cohomology ring is a polynomial algebra on even degree classes are intrinsically formal. As
Externí odkaz:
http://arxiv.org/abs/2407.16236
Autor:
Emprin, Coline, Horel, Geoffroy
Publikováno v:
Higher Structures and Operadic Calculus, Advanced Courses in Mathematics - CRM Barcelona, Springer, 2024
This is a survey on formality results relying on weight structures. A weight structure is a naturally occurring grading on certain differential graded algebras. If this weight satisfies a purity property, one can deduce formality. Algebraic geometry
Externí odkaz:
http://arxiv.org/abs/2406.19142
Autor:
Horel, Geoffroy, Willwacher, Thomas
Let $\mathsf P$ be an operad acted upon by a group $G$, and let $\mathsf Q=\mathsf P\rtimes G$ be the corresponding framed operad. We relate the homotopy automorphism groups of $\mathsf P$ and $\mathsf Q$. We apply the result to compute the automorph
Externí odkaz:
http://arxiv.org/abs/2403.11185
Autor:
Cirici, Joana, Horel, Geoffroy
Any Batalin-Vilkovisky algebra with a homotopy trivialization of the BV-operator gives rise to a hypercommutative algebra structure at the cochain level which, in general, contains more homotopical information than the hypercommutative algebra introd
Externí odkaz:
http://arxiv.org/abs/2302.08492
Autor:
Horel, Geoffroy
We produce a fully faithful functor from finite type nilpotent spaces to cosimplicial binomial rings, thus giving an algebraic model of integral homotopy types. As an application, we construct an integral version of the Grothendieck-Teichm\"uller gro
Externí odkaz:
http://arxiv.org/abs/2211.02349
We record two facts on spaces of derived maps between the operads $E_d$ of little $d$-cubes. Firstly, these mapping spaces are equivalent to the mapping spaces between the non-unitary versions of $E_d$. Secondly, all endomorphisms of $E_d$ are automo
Externí odkaz:
http://arxiv.org/abs/2211.00908
Autor:
Horel, Geoffroy, Ramzi, Maxime
Publikováno v:
Ann. K-Th. 6 (2021) 571-605
Let $Q$ denote MacLane's $Q$-construction, and $\otimes$ denote the smash product of spectra. In this paper we construct an equivalence $Q(R)\simeq \mathbb Z\otimes R$ in the category of $A_\infty$ ring spectra for any ring $R$, thus proving a conjec
Externí odkaz:
http://arxiv.org/abs/2011.01620
Autor:
Horel, Geoffroy, Palmer, Martin
Publikováno v:
Bull. London Math. Soc., vol. 55 (2023) pp. 892-913
We prove that some of the classical homological stability results for configuration spaces of points in manifolds can be lifted to motivic cohomology.
Comment: 18 pages. Final version, to appear in the Bulletin of the London Mathematical Society
Comment: 18 pages. Final version, to appear in the Bulletin of the London Mathematical Society
Externí odkaz:
http://arxiv.org/abs/2007.13718
Publikováno v:
Compositio Math. 157 (2021) 997-1021
We exploit the Galois symmetries of the little disks operads to show that many differentials in the Goodwillie-Weiss spectral sequences approximating the homology and homotopy of knot spaces vanish at a prime $p$. Combined with recent results on the
Externí odkaz:
http://arxiv.org/abs/2002.01470
Publikováno v:
Annales de l'Institut Fourier, Vol.71, no.5, pp.2079--2116
In a recent paper, the second author and Joana Cirici proved a theorem that says that given appropriate hypotheses, $n$-formality of a differential graded algebraic structure is equivalent to the existence of a chain-level lift of a homology-level de
Externí odkaz:
http://arxiv.org/abs/1906.03475