Zobrazeno 1 - 10
of 260
pro vyhledávání: '"Blanc, David"'
Autor:
Blanc, David, Paoli, Simona
We describe a comonad on $n$-track categories, for each $n\geq 0$ yielding an explicit cosimplicial abelian group model for the Andr\'{e}-Quillen cohomology of an $(\infty,1)$-category.
Comment: updated introduction
Comment: updated introduction
Externí odkaz:
http://arxiv.org/abs/2405.12674
We study the homotopy theory of diagrams of chain complexes over a field indexed by a finite poset, and show that it can be completely described in terms of appropriate diagrams of graded vector spaces.
Externí odkaz:
http://arxiv.org/abs/2404.03589
We explain how the simplicial higher-order unstable homotopy operations defined in [BBS2] may be composed and inserted one in another, thus forming a coherent if complicated algebraic structure.
Externí odkaz:
http://arxiv.org/abs/2307.12017
Autor:
Blanc, David, Meadows, Nicholas
Using the Harpaz-Nuiten-Prasma interpretation of the Dwyer-Kan-Smith cohomology of a simplicial category $\mathcal{X}$, we obtain a cochain complex for the Andr\'{e}-Quillen cohomology groups in which the $k$-invariants for $\mathcal{X}$ take value.
Externí odkaz:
http://arxiv.org/abs/2212.01885
Autor:
Blanc, David, Shvalb, Nir
A $configuration$ of a linkage $\Gamma$ is a possible positioning of $\Gamma$ in $\mathbb{R}^d$ and the collection of all such forms the configuration space $\mathcal{C}(\Gamma)$ of $\Gamma$. We here introduce the notion of the $symmetric configurati
Externí odkaz:
http://arxiv.org/abs/2207.08173
Autor:
Blanc, David, Meadows, Nicholas
We describe two types of localization for $(\infty, 1)$-categories which determine the successive terms in the homotopy spectral sequence of a (co)simplicial object.
Externí odkaz:
http://arxiv.org/abs/2204.13602
Autor:
Blanc, David, Meadows, Nicholas
We explain how to set up the homotopy spectral sequence of a (co)simplicial object in an $\infty$-category, with an emphasis on how to construct the differentials in a model-invariant manner.
Comment: Pre copy-edited post-acceptance version of a
Comment: Pre copy-edited post-acceptance version of a
Externí odkaz:
http://arxiv.org/abs/2011.14931
We construct certain unstable higher-order homotopy operations indexed by the simplex categories of $\Delta^{n}$ for ${n\geq 2}$ and prove that all elements in the homotopy groups of a wedge of spheres are generated under such operations by Whitehead
Externí odkaz:
http://arxiv.org/abs/2003.08842
Autor:
Blanc, David, Ghosh, Surojit
The $E_2$-term of the Adams spectral sequence for $\mathbf{Y}$ may be described in terms of its cohomology $E^\ast \mathbf{Y}$, together with the action of the primary operations $E^\ast \mathbf{E}$ on it, for ring spectra such as $\mathbf{E} = \math
Externí odkaz:
http://arxiv.org/abs/2001.08018
Publikováno v:
Algebr. Geom. Topol. 21 (2021) 2425-2488
For a pointed topological space $X$, we use an inductive construction of a simplicial resolution of $X$ by wedges of spheres to construct a "higher homotopy structure" for $X$ (in terms of chain complexes of spaces). This structure is then used to de
Externí odkaz:
http://arxiv.org/abs/1911.08259