Topology of Moment-Angle Manifolds Arising from Flag Nestohedra

被引:6
作者
Limonchenko, Ivan [1 ]
机构
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
关键词
Moment-angle manifold; Flag nestohedra; Stanley-Reisner ring; Massey products; Grapli-associalledroii; MASSEY PRODUCTS; COMPLEXES; POLYTOPES; COHOMOLOGY;
D O I
10.1007/s11401-017-1037-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The author constructs a family of manifolds, one for each n >= 2, having a nontrivial Massey n-product in their cohomology for any given 71. These manifolds turn out to be smooth closed 2-connected manifolds with a compact torus T-m-action called moment angle manifolds Z(p), whose orbit spaces are simple n-dimensionalpolytopes P obtained from an n-cube by a. sequence of truncations of faces of codimeusiou 2 only (2 truncated cubes). Moreover, the polytopes P are flag nestohedra but not graph-associaltedra. The author also describes the numbers,j beta(-i,) (2(i+1))(Q) for an associahedron Q in terms of its graph structure and relates it to the structure of the loop homology (Pontryagin algebra) H-* (Omega Zeta Q), and then studies higher Massey products in H-*(Zeta Q) for a graph-associahedron Q.
引用
收藏
页码:1287 / 1302
页数:16
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