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Homotopy commutativity in quasitoric manifolds

math.AT · 2024-04-01 · unverdicted · novelty 5.0

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.

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  • Homotopy commutativity in quasitoric manifolds math.AT · 2024-04-01 · unverdicted · none · ref 15

    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.