Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Sagave, Steffen"'
Autor:
Sagave, Steffen, Schwede, Stefan
Publikováno v:
International Mathematics Research Notices, 2021, no. 8, 6246-6292
The purpose of this paper is to show that various convolution products are fully homotopical, meaning that they preserve weak equivalences in both variables without any cofibrancy hypothesis. We establish this property for diagrams of simplicial sets
Externí odkaz:
http://arxiv.org/abs/1907.05188
Publikováno v:
Forum of Mathematics, Sigma 8 (2020), e16
In order to treat multiplicative phenomena in twisted (co)homology, we introduce a new point-set level framework for parametrized homotopy theory. We provide a convolution smash product that descends to the corresponding infinity-categorical product
Externí odkaz:
http://arxiv.org/abs/1904.01824
Autor:
Hebestreit, Fabian, Sagave, Steffen
Publikováno v:
Math. Ann. 378 (2020), no. 3-4, 1021-1059
Using the framework for multiplicative parametrized homotopy theory introduced in joint work with C. Schlichtkrull, we produce a multiplicative comparison between the homotopical and operator algebraic constructions of twisted K-theory, both in the r
Externí odkaz:
http://arxiv.org/abs/1904.01872
Autor:
Richter, Birgit, Sagave, Steffen
Publikováno v:
Compositio Math. 156 (2020) 1718-1743
The commutative differential graded algebra $A_{\mathrm{PL}}(X)$ of polynomial forms on a simplicial set $X$ is a crucial tool in rational homotopy theory. In this note, we construct an integral version $A^{\mathcal{I}}(X)$ of $A_{\mathrm{PL}}(X)$. O
Externí odkaz:
http://arxiv.org/abs/1801.01060
Publikováno v:
Journal of Topology, 12 (2019), no. 4, 1146-1173
The topological Hochschild homology $THH(A)$ of an orthogonal ring spectrum $A$ can be defined by evaluating the cyclic bar construction on $A$ or by applying B\"okstedt's original definition of $THH$ to $A$. In this paper, we construct a chain of st
Externí odkaz:
http://arxiv.org/abs/1707.07862
Publikováno v:
Journal of the Institute of Mathematics of Jussieu, 19 (2020), no. 1, 21-64
We develop a theory of R-module Thom spectra for a commutative symmetric ring spectrum R and we analyze their multiplicative properties. As an interesting source of examples, we show that R-algebra Thom spectra associated to the special unitary group
Externí odkaz:
http://arxiv.org/abs/1608.08388
Autor:
Patchkoria, Irakli, Sagave, Steffen
Publikováno v:
Proc. Amer. Math. Soc. 144 (2016), no. 9, 4099-4106
The cyclic bar construction in symmetric spectra and B\"okstedt's original construction are two possible ways to define the topological Hochschild homology of a symmetric ring spectrum. In this short note we explain how to correct an error in Shipley
Externí odkaz:
http://arxiv.org/abs/1508.03129
Autor:
Nikolaus, Thomas, Sagave, Steffen
Publikováno v:
Algebr. Geom. Topol. 17 (2017) 3189-3212
We prove the theorem stated in the title. More precisely, we show the stronger statement that every symmetric monoidal left adjoint functor between presentably symmetric monoidal infinity-categories is represented by a strong symmetric monoidal left
Externí odkaz:
http://arxiv.org/abs/1506.01475
Publikováno v:
Mathematische Zeitschrift 292 (2019), no. 3-4, 975-1016
We introduce a convenient framework for constructing and analyzing orthogonal Thom spectra arising from virtual vector bundles. This framework enables us to set up a theory of orientations and graded Thom isomorphisms with good multiplicative propert
Externí odkaz:
http://arxiv.org/abs/1410.4492
Publikováno v:
J. Eur. Math. Soc. 20 (2018), 489-527
In this paper we continue our study of logarithmic topological Hochschild homology. We show that the inclusion of the connective Adams summand into the p-local complex connective K-theory spectrum, equipped with suitable log structures, is a formally
Externí odkaz:
http://arxiv.org/abs/1410.2170