Abstract:In this paper, we establish two loop decomposition theorems for sphere bundles of real vector bundles under appropriate connectivity and characteristic class assumptions. Specifically, we treat two families of sphere bundles: those arising from rank-$(n-1)$ vector bundles and those from rank-$(n-3)$ vector bundles over closed smooth $n$-manifolds.
From: Wen Shen [view email]
[v1]
Tue, 2 Jun 2026 03:02:04 UTC (9 KB)
[v2]
Tue, 1 Sep 2026 06:45:32 UTC (11 KB)
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