Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Pedro Boavida de Brito"'
Publikováno v:
Geom. Topol. 23, no. 1 (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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf6d698a2b37658f90d6f92f00e92b02
https://doi.org/10.2140/gt.2019.23.299
https://doi.org/10.2140/gt.2019.23.299
Autor:
Pedro Boavida de Brito, Ieke Moerdijk
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 Γ-spaces. As an important tool in the latter compari
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a085b80d62c8831dc492da91a050b08
https://dspace.library.uu.nl/handle/1874/410907
https://dspace.library.uu.nl/handle/1874/410907
Autor:
Geoffroy Horel, Pedro Boavida de Brito
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1daaf71183d524f0a721a1083fa165d0
Autor:
Pedro Boavida de Brito, Michael Weiss
Publikováno v:
Proceedings of the American Mathematical Society. 146:4497-4512
A construction related to the Boardman-Vogt tensor product of operads allows us to describe the configuration category of a product manifold M × N M\times N in terms of the configuration categories of the factors M M and N N .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f3d475927ed11dbc11b21507cf966ef
https://doi.org/10.1090/proc/14143
https://doi.org/10.1090/proc/14143
Autor:
Michael Weiss, Pedro Boavida de Brito
Publikováno v:
Journal of Topology. 11:65-143
In the homotopical study of spaces of smooth embeddings, the functor calculus method (Goodwillie–Klein–Weiss manifold calculus) has opened up important connections to operad theory. Using this and a few simplifying observations, we arrive at an o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e5b94c91deff07422876f37a1976abb
https://doi.org/10.1112/topo.12048
https://doi.org/10.1112/topo.12048
Autor:
Pedro Boavida de Brito
Publikováno v:
An Alpine Bouquet of Algebraic Topology. :19-44
We discuss right fibrations in the $\infty$-categorical context of Segal objects in a category V and prove some basic results about these.
Comment: 26 pages
Comment: 26 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca8240ce39714ee393c36836173ca163
https://doi.org/10.1090/conm/708/14271
https://doi.org/10.1090/conm/708/14271
Autor:
Pedro Boavida de Brito, Geoffroy Horel
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6690a7296f2a5f592c5ed4f0982d04ff
http://arxiv.org/abs/1903.09191
http://arxiv.org/abs/1903.09191
Autor:
Pedro Boavida de Brito, Michael Weiss
Publikováno v:
Homology, Homotopy and Applications. 15:361-383
Manifold calculus is a form of functor calculus concerned with contravariant functors from some category of manifolds to spaces. A weakness in the original formulation is that it is not continuous in the sense that it does not handle the natural enri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::284ba31467e1eb98e1d05430ecb6d61d
https://doi.org/10.4310/hha.2013.v15.n2.a20
https://doi.org/10.4310/hha.2013.v15.n2.a20