Loop spaces of quasitoric manifolds are homotopy commutative iff the polytope is (Δ³)^n with characteristic matrix of certain type; constructs infinite families of generalized Bott manifolds over such polytopes with both commutative and non-commutative cases.
Samelson, A connection Between the Whitehead and the Pontryagin product, Amer
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Homotopy commutativity in quasitoric manifolds
Loop spaces of quasitoric manifolds are homotopy commutative iff the polytope is (Δ³)^n with characteristic matrix of certain type; constructs infinite families of generalized Bott manifolds over such polytopes with both commutative and non-commutative cases.