Wedi'i Gadw mewn:
| Prif Awduron: | , , , |
|---|---|
| Fformat: | Preprint |
| Cyhoeddwyd: |
2024
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| Pynciau: | |
| Mynediad Ar-lein: | https://arxiv.org/abs/2404.01510 |
| Tagiau: |
Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
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Tabl Cynhwysion:
- We prove that the loop space of a quasitoric manifold is homotopy commutative if and only if the underlying polytope is a product of $3$-simplices $(Δ^3)^n$ and the characteristic matrix is equivalent to a matrix of certain type. Quasitoric manifolds over $(Δ^3)^n$ include generalized Bott manifolds, and we also construct an infinite family of homotopy nonequivalent generalized Bott manifolds over $(Δ^3)^n$, only half of them have homotopy commutative loop spaces. In particular, for each $n\ge 2$, there are infinitely many homotopy types in $6n$-dimensional quasitoric manifolds having homotopy (non)commutative loop spaces.