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- W1828503369 abstract "We construct a family of manifolds, one for each $ngeq 2$, having a nontrivial Massey $n$-product in their cohomology. These manifolds turn out to be smooth closed 2-connected manifolds with a compact torus action called moment-angle manifolds $mathcal Z_P$, whose orbit spaces are simple $n$-dimensional polytopes $P$ obtained from a $n$-cube by a sequence of truncations of faces of codimension 2 only (2-truncated cubes). Moreover, the polytopes $P$ are flag nestohedra but not graph-associahedra. We compute some bigraded Betti numbers $beta^{-i,2(i+1)}(Q)$ for an associahedron $Q$ in terms of its graph structure and relate it to the structure of the loop homology (Pontryagin algebra) $H_{*}(Omegamathcal Z_Q)$. We also study triple Massey products in $H^{*}(mathcal Z_Q)$ for a graph-associahedron $Q$." @default.
- W1828503369 created "2016-06-24" @default.
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- W1828503369 date "2015-10-27" @default.
- W1828503369 modified "2023-09-27" @default.
- W1828503369 title "Moment-angle manifolds, 2-truncated cubes and Massey operations" @default.
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