LS-category of moment-angle manifolds and higher order Massey products
نویسندگان
چکیده
Abstract Using the combinatorics of underlying simplicial complex K , we give various upper and lower bounds for Lusternik–Schnirelmann (LS) category moment-angle complexes
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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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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2021
ISSN: ['1435-5337', '0933-7741']
DOI: https://doi.org/10.1515/forum-2021-0015