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pro vyhledávání: '"Infinite loop spaces"'
Akademický článek
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We calculate mod-p cohomology of extended powers, and their group completions which are free infinite loop spaces. We consider the cohomology of all extended powers of a space together and identify a Hopf ring structure with divided powers within whi
Externí odkaz:
http://arxiv.org/abs/2304.06435
Autor:
Li, Xin
Inspired by work of Szymik and Wahl on the homology of Higman-Thompson groups, we establish a general connection between ample groupoids, topological full groups, algebraic K-theory spectra and infinite loop spaces, based on the construction of small
Externí odkaz:
http://arxiv.org/abs/2209.08087
We study the $E_2$-algebra $\Lambda\mathfrak{M}_{*,1}=\coprod_{g\geqslant 0}\Lambda\mathfrak{M}_{g,1}$ consisting of free loop spaces of moduli spaces of Riemann surfaces with one parametrised boundary component, and compute the homotopy type of the
Externí odkaz:
http://arxiv.org/abs/2105.05772
Autor:
Bachmann, Tom, Elmanto, Elden, Hoyois, Marc, Khan, Adeel A., Sosnilo, Vladimir, Yakerson, Maria
Publikováno v:
Ãpijournal de Géométrie Algébrique, Volume 5 (May 19, 2021) epiga:6581
We obtain geometric models for the infinite loop spaces of the motivic spectra $\mathrm{MGL}$, $\mathrm{MSL}$, and $\mathbf{1}$ over a field. They are motivically equivalent to $\mathbb{Z}\times \mathrm{Hilb}_\infty^\mathrm{lci}(\mathbb{A}^\infty)^+$
Externí odkaz:
http://arxiv.org/abs/1911.02262
Publikováno v:
Geom. Topol. 23 (2019) 1549-1610
This is a continuation of our previous work with Botvinnik on the nontriviality of the secondary index invariant on spaces of metrics of positive scalar curvature, in which we take the fundamental group of the manifolds into account. We show that the
Externí odkaz:
http://arxiv.org/abs/1711.11363
We prove a recognition principle for motivic infinite P1-loop spaces over a perfect field. This is achieved by developing a theory of framed motivic spaces, which is a motivic analogue of the theory of E-infinity-spaces. A framed motivic space is a m
Externí odkaz:
http://arxiv.org/abs/1711.05248
Motivated by the operad built from moduli spaces of Riemann surfaces, we consider a general class of operads in the category of spaces that satisfy certain homological stability conditions. We prove that such operads are infinite loop space operads i
Externí odkaz:
http://arxiv.org/abs/1612.07791
Autor:
McGibbon, C. A.
Publikováno v:
Proceedings of the American Mathematical Society, 1997 Jan 01. 125(1), 309-313.
Externí odkaz:
https://www.jstor.org/stable/2161829
