Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Lindenstrauss, Ayelet"'
Autor:
Lindenstrauss, Ayelet, Richter, Birgit
For associative rings with anti-involution several homology theories exists, for instance reflexive homology as studied by Graves and involutive Hochschild homology defined by Fern\`andez-Val\`encia and Giansiracusa. We prove that the corresponding h
Externí odkaz:
http://arxiv.org/abs/2407.20082
Building on work of Hill, Hoyer and Mazur we propose an equivariant version of a Loday construction for $G$-Tambara functors where $G$ is an arbitrary finite group. For any finite simplicial $G$-set and any $G$-Tambara functor, our Loday construction
Externí odkaz:
http://arxiv.org/abs/2401.04216
We provide new examples of \'etale extensions of Green functors by transferring classical examples of \'etale extensions to the equivariant setting. Our examples are Tambara functors, and we prove Green \'etaleness for them, which implies Tambara \'e
Externí odkaz:
http://arxiv.org/abs/2304.01656
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 7/1/2024, Vol. 11, p287-303. 17p.
We develop a spectral sequence for the homotopy groups of Loday constructions with respect to twisted products in the case where the group involved is a constant simplicial group. We show that for commutative Hopf algebra spectra Loday constructions
Externí odkaz:
http://arxiv.org/abs/2002.00715
Autor:
Lindenstrauss, Ayelet, Richter, Birgit
We study the question for which commutative ring spectra $A$ the tensor of a simplicial set $X$ with $A$, $X \otimes A$, is a stable invariant in the sense that it depends only on the homotopy type of $\Sigma X$. We prove several structural propertie
Externí odkaz:
http://arxiv.org/abs/1905.05619
Autor:
Bobkova, Irina, Höning, Eva, Lindenstrauss, Ayelet, Poirier, Kate, Richter, Birgit, Zakharevich, Inna
Publikováno v:
Algebr. Geom. Topol. 19 (2019) 3711-3753
Tensoring finite pointed simplicial sets with commutative ring spectra yields important homology theories such as (higher) topological Hochschild homology and torus homology. We prove several structural properties of these constructions relating $X \
Externí odkaz:
http://arxiv.org/abs/1808.05440
Let $K$ be a complete discrete valuation field with finite residue field of characteristic $p$, and let $D$ be a central division algebra over $K$ of finite index $d$. Thirty years ago, Suslin and Yufryakov showed that for all prime numbers $\ell$ di
Externí odkaz:
http://arxiv.org/abs/1807.00104
Publikováno v:
In Topology and its Applications 1 July 2022 316
We define a relative version of the Loday construction for a sequence of commutative S-algebras $A \rightarrow B \rightarrow C$ and a pointed simplicial subset $Y \subset X$. We use this to construct several spectral sequences for the calculation of
Externí odkaz:
http://arxiv.org/abs/1609.02397