Topology of moment-angle manifolds arising from flag nestohedra
| Autor: | Ivan Limonchenko |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Associahedron
Applied Mathematics General Mathematics 010102 general mathematics Polytope Torus Codimension Homology (mathematics) Mathematics::Algebraic Topology 01 natural sciences Stanley–Reisner ring Cohomology Pontryagin's minimum principle Combinatorics 0103 physical sciences 010307 mathematical physics 0101 mathematics Mathematics |
| Zdroj: | Chinese Annals of Mathematics, Series B. 38:1287-1302 |
| ISSN: | 1860-6261 0252-9599 |
| DOI: | 10.1007/s11401-017-1037-1 |
| Popis: | The author constructs a family of manifolds, one for each n ≥ 2, having a nontrivial Massey n-product in their cohomology for any given n. These manifolds turn out to be smooth closed 2-connected manifolds with a compact torus Tm-action called moment-angle manifolds Z P , whose orbit spaces are simple n-dimensional polytopes P obtained from an 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. The author also describes the numbers β−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*(ΩZ Q ), and then studies higher Massey products in H*(Z Q ) for a graph-associahedron Q. |
| Databáze: | OpenAIRE |
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