Geodesic
Global stable splittings of Stiefel manifolds
Documenta mathematica, Tome 27 (2022), pp. 789-845 Cet article a éte moissonné depuis la source EMS Press

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We prove global equivariant refinements of Miller's stable splittings of the infinite orthogonal, unitary and symplectic groups, and more generally of the spaces O/O(m),U/U(m) and Sp/Sp(m). As such, our results encode compatible equivariant stable splittings, for all compact Lie groups, of specific equivariant refinements of these spaces.
DOI : 10.4171/dm/885
Classification : 55N91, 55P91
Mots-clés : global homotopy theory, stable splitting, Stiefel manifold 
@article{10_4171_dm_885,
     author = {Stefan Schwede},
     title = {Global stable splittings of {Stiefel} manifolds},
     journal = {Documenta mathematica},
     pages = {789--845},
     year = {2022},
     volume = {27},
     doi = {10.4171/dm/885},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/885/}
}
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Stefan Schwede. Global stable splittings of Stiefel manifolds. Documenta mathematica, Tome 27 (2022), pp. 789-845. doi: 10.4171/dm/885

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