Voir la notice de l'article provenant de la source Mathematical Sciences Publishers
We consider in parallel pointed homotopy automorphisms of iterated wedge sums of finite CW–complexes and boundary-relative homotopy automorphisms of iterated connected sums of manifolds minus a disk. Under certain conditions on the spaces and manifolds, we prove that the rational homotopy groups of these homotopy automorphisms form finitely generated FI –modules, and thus satisfy representation stability for symmetric groups in the sense of Church and Farb. We also calculate explicit bounds on the weights and stability degrees of these FI –modules.
Lindell, Erik 1 ; Saleh, Bashar 2
@article{10_2140_agt_2024_24_2673,
author = {Lindell, Erik and Saleh, Bashar},
title = {Representation stability for homotopy automorphisms},
journal = {Algebraic and Geometric Topology},
pages = {2673--2705},
publisher = {mathdoc},
volume = {24},
number = {5},
year = {2024},
doi = {10.2140/agt.2024.24.2673},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.2673/}
}
TY - JOUR AU - Lindell, Erik AU - Saleh, Bashar TI - Representation stability for homotopy automorphisms JO - Algebraic and Geometric Topology PY - 2024 SP - 2673 EP - 2705 VL - 24 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.2673/ DO - 10.2140/agt.2024.24.2673 ID - 10_2140_agt_2024_24_2673 ER -
%0 Journal Article %A Lindell, Erik %A Saleh, Bashar %T Representation stability for homotopy automorphisms %J Algebraic and Geometric Topology %D 2024 %P 2673-2705 %V 24 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.2673/ %R 10.2140/agt.2024.24.2673 %F 10_2140_agt_2024_24_2673
Lindell, Erik; Saleh, Bashar. Representation stability for homotopy automorphisms. Algebraic and Geometric Topology, Tome 24 (2024) no. 5, pp. 2673-2705. doi: 10.2140/agt.2024.24.2673
Cité par Sources :