Zobrazeno 1 - 10
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pro vyhledávání: '"Lowen, Wendy"'
Autor:
Lehmann, Alessandro, Lowen, Wendy
We propose a solution to the "curvature problem" from arXiv:1505.03698 and arXiv:0905.3845 for infinitesimal deformations. Let $k$ be a field, $A$ a dg algebra over $k$ and $A_n = A[t]/(t^{n+1})$ a cdg algebra over $R_n = k[t]/(t^{n+1})$, $n \geq 0$,
Externí odkaz:
http://arxiv.org/abs/2402.08660
The framework of templicial objects was put forth in arXiv:2302.02484v1 in order to develop higher categorical concepts in the presence of enrichment. In particular, quasi-categories in modules constitute a subclass of templicial modules which may be
Externí odkaz:
http://arxiv.org/abs/2308.09148
We introduce a symmetric operad $\square p$ ("box-op") which describes a certain calculus of rectangular labeled ``boxes''. Algebras over $\square p$, which we call box operads, have appeared under the name of fc multicategories in work by Leinster \
Externí odkaz:
http://arxiv.org/abs/2305.20036
Autor:
Lowen, Wendy, Mertens, Arne
We lay the foundations for a theory of quasi-categories in a monoidal category $\mathcal{V}$ replacing $\mathrm{Set}$, aimed at realising weak enrichment in the category $S\mathcal{V}$ of simplicial objects in $\mathcal{V}$. To accomodate non-cartesi
Externí odkaz:
http://arxiv.org/abs/2302.02484
This paper is a sequel to "t-structures and twisted complexes on derived injectives" by the same authors. We develop the foundations of the infinitesimal derived deformation theory of pretriangulated dg-categories endowed with t-structures. This gene
Externí odkaz:
http://arxiv.org/abs/2212.12564
Publikováno v:
In Journal of Pure and Applied Algebra June 2024 228(6)
Publikováno v:
Selecta Mathematica New Series 28, article no. 47 (2022)
We introduce an operad which acts on the Gerstenhaber-Schack complex of a prestack as defined by Dinh Van and Lowen, and which in particular allows us to endow this complex with an underlying $L_{\infty}$-structure. We make use of the operad $\operat
Externí odkaz:
http://arxiv.org/abs/2010.07008
Autor:
Lowen, Wendy, Mertens, Arne
Templicial objects were put forth in arXiv:2302.02484v2 to set up a suitable simplicial framework for enriched quasi-categories. Following Leinster, these objects feature certain comultiplications as a replacement for outer face maps in the non-carte
Externí odkaz:
http://arxiv.org/abs/2005.04778
Autor:
Lowen, Wendy, González, Julia Ramos
We endow the homotopy category of well generated (pretriangulated) dg categories with a tensor product satisfying a universal property. The resulting monoidal structure is symmetric and closed with respect to the cocontinuous RHom of dg categories (i
Externí odkaz:
http://arxiv.org/abs/2002.09991
Autor:
Lowen, Wendy, Bergh, Michel Van den
Consider a monoidal category which is at the same time abelian with enough projectives and such that projectives are flat on the right. We show that there is a $B_{\infty}$-algebra which is $A_{\infty}$-quasi-isomorphic to the derived endomorphism al
Externí odkaz:
http://arxiv.org/abs/1907.06026