Whitehead products in moment-angle complexes
نویسندگان
چکیده
منابع مشابه
Moment angle complexes andbig Cohen–Macaulayness
Let ZK C be the moment angle complex associated to a simplicial complex K on Œm , together with the natural action of the torus T D U.1/ . Let G T be a (possibly disconnected) closed subgroup and R WD T=G . Let ZŒK be the Stanley– Reisner ring of K and consider ZŒR WD H .BRIZ/ as a subring of ZŒT WD H .BTIZ/ . We prove that H G .ZK IZ/ is isomorphic to Tor ZŒR .ZŒK;Z/ as a graded module...
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Associated to every finite simplicial complex K there is a “moment-angle” finite CW-complex, ZK ; if K is a triangulation of a sphere, ZK is a smooth, compact manifold. Building on work of Buchstaber, Panov, and Baskakov, we study the cohomology ring, the homotopy groups, and the triple Massey products of a moment-angle complex, relating these topological invariants to the algebraic combinatori...
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Associated to every finite simplicial complex K there is a “moment-angle” finite CW-complex, ZK ; if K is a triangulation of a sphere, ZK is a smooth, compact manifold. Building on work of Buchstaber, Panov, and Baskakov, we study the cohomology ring, the homotopy groups, and the triple Massey products of a moment-angle complex, relating these topological invariants to the algebraic combinatori...
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Associated to every finite simplicial complex K there is a “moment-angle” finite CW-complex, ZK ; if K is a triangulation of a sphere, ZK is a smooth, compact manifold. Building on work of Buchstaber, Panov, and Baskakov, we study the cohomology ring, the homotopy groups, and the triple Massey products of a moment-angle complex, relating these topological invariants to the algebraic combinatori...
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We define a symmetric monodical pairing G ◦ H among simply connected co-H spaces G and H with the property that S(G◦H) is equivalent to the smash product G∧H as co-H spaces. We further generalize the Whitehead product map to a map G ◦ H → G ∨ H whose mapping cone is the cartesian product. Whitehead products have played an important role in unstable homotopy. They were originally introduced [Whi...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2020
ISSN: 0025-5645
DOI: 10.2969/jmsj/82708270