Hairy graph construction yields nontrivial rational homotopy classes proving infinite-dimensionality of π_•(Emb_c(R^{n-2}, R^n)) ⊗ Q for odd n ≥ 5.
Munson and Ismar Voli´ c.Cubical Homotopy Theory
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The homotopy type of the moment-angle complex over the face poset of the complex of injective words is determined by the h-vector of that complex.
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Infinite-dimensionality of the rational homotopy groups of the space of long embeddings of codimension 2
Hairy graph construction yields nontrivial rational homotopy classes proving infinite-dimensionality of π_•(Emb_c(R^{n-2}, R^n)) ⊗ Q for odd n ≥ 5.
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The homotopy type of the moment-angle complex associated to the complex of injective words
The homotopy type of the moment-angle complex over the face poset of the complex of injective words is determined by the h-vector of that complex.