Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Ducoulombier, Julien"'
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 833-882
In the present work, we realize the space of 2-string links $\mathcal{L}$ as a free algebra over a colored operad denoted $\mathcal{SCL}$ (for "Swiss-Cheese for links"). This result extends works of Burke and Koytcheff about the quotient of $\mathcal
Externí odkaz:
http://arxiv.org/abs/2005.06036
We develop the combinatorics of leveled trees in order to construct explicit resolutions of (co)operads and (co)operadic (co)bimodules. We build explicit cofibrant resolutions of operads and operadic bimodules in spectra analogous to the ordinary Boa
Externí odkaz:
http://arxiv.org/abs/1911.09474
We construct and study projective and Reedy model category structures for bimodules and infinitesimal bimodules over topological operads. Both model structures produce the same homotopy categories. For the model categories in question, we build expli
Externí odkaz:
http://arxiv.org/abs/1911.03890
It is known that the bimodule derived mapping spaces between two operads have a delooping in terms of the operadic mapping space. We show a relative version of that statement. The result has applications to the spaces of disc embeddings fixed near th
Externí odkaz:
http://arxiv.org/abs/1811.12816
We study configuration spaces of framed points on compact manifolds. Such configuration spaces admit natural actions of the framed little discs operads, that play an important role in the study of embedding spaces of manifolds and in factorization ho
Externí odkaz:
http://arxiv.org/abs/1807.08319
Autor:
Ducoulombier, Julien, Turchin, Victor
We study a connection between mapping spaces of bimodules and of infinitesimal bimodules over an operad. As main application and motivation of our work, we produce an explicit delooping of the manifold calculus tower associated to the space of smooth
Externí odkaz:
http://arxiv.org/abs/1708.02203
Autor:
Ducoulombier, Julien
From a map of operads $\eta : O\rightarrow O'$, we introduce a cofibrant replacement of the operad $O$ in the category of bimodules over itself such that the corresponding model of the derived mapping space of bimodules $Bimod_{O}^{h}(O;O')$ is an al
Externí odkaz:
http://arxiv.org/abs/1704.07062
Autor:
Ducoulombier, Julien
In the present work, we extract pairs of topological spaces from maps between coloured operads. We prove that those pairs are weakly equivalent to explicit algebras over the one dimensional Swiss-Cheese operad SC_{1}. Thereafter, we show that the pai
Externí odkaz:
http://arxiv.org/abs/1603.07162
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