Zobrazeno 1 - 10
of 93
pro vyhledávání: '"de Brito, Pedro"'
Using log-geometry, we construct a model for the configuration category of a smooth algebraic variety. As an application, we prove the formality of certain configuration spaces.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
http://arxiv.org/abs/2411.06934
We show that in codimension at least 3, spaces of locally flat topological embeddings of manifolds are correctly modelled by derived spaces of maps between their configuration categories (under mild smoothability conditions). That general claim was r
Externí odkaz:
http://arxiv.org/abs/2401.00799
The configuration category of a manifold is a topological category which we view as a Segal space, via the nerve construction. Our main result is that the unordered configuration category, suitably truncated, admits a finite presentation as a complet
Externí odkaz:
http://arxiv.org/abs/2312.17632
We investigate the relationship between the configuration category of a manifold and the configuration category of a covering space of that manifold.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/2312.17631
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
We prove that the set of concordance classes of sections of an infinity-sheaf on a manifold is representable, extending a theorem of Madsen and Weiss. This is reminiscent of an h-principle in which the role of isotopy is played by concordance. As an
Externí odkaz:
http://arxiv.org/abs/1912.10544
Using a variant of the Boardman-Vogt tensor product, we construct an action of the Grothendieck-Teichm\"uller group on the completion of the little n-disks operad $E_n$. This action is used to establish a partial formality theorem for $E_n$ with mod
Externí odkaz:
http://arxiv.org/abs/1903.09191
Publikováno v:
Geom. Topol. 23 (2019) 299-346
We show that the group of homotopy automorphisms of the profinite completion of the genus zero surface operad is isomorphic to the (profinite) Grothendieck-Teichm\"{u}ller group. Using a result of Drummond-Cole, we deduce that the Grothendieck-Teichm
Externí odkaz:
http://arxiv.org/abs/1703.05143
A construction related to the Boardman-Vogt tensor product of operads allows us to describe the configuration category of a product manifold $M\times N$ in terms of the configuration categories of the factors $M$ and $N$.
Comment: 15 pages. v2:
Comment: 15 pages. v2:
Externí odkaz:
http://arxiv.org/abs/1701.06987
We study the covariant model structure on dendroidal spaces and establish direct relations to the homotopy theory of algebras over a simplicial operad as well as to the homotopy theory of special $\Gamma$-spaces. As an important tool in the latter co
Externí odkaz:
http://arxiv.org/abs/1701.06459