Geodesic
Operads in unstable global homotopy theory
Barrero, Miguel1
1 Institute for Mathematics, Astrophysics and Particle Physics, Radboud University, Nijmegen, Netherlands
Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 3293-3355

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We study operads in unstable global homotopy theory, which is the homotopy theory of spaces with compatible actions by all compact Lie groups. We show that the theory of these operads works remarkably well, as for example it is possible to give a model structure for the category of algebras over any such operad. We define global E∞–operads, a good generalization of E∞–operads to the global setting, and we give a rectification result for algebras over them.

DOI : 10.2140/agt.2023.23.3293
Keywords: global homotopy theory, equivariant homotopy theory, operads, model structures

Barrero, Miguel 1

1 Institute for Mathematics, Astrophysics and Particle Physics, Radboud University, Nijmegen, Netherlands 
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Barrero, Miguel. Operads in unstable global homotopy theory. Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 3293-3355. doi: 10.2140/agt.2023.23.3293

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