ec 2 00 5 MOMENT - ANGLE COMPLEXES , MONOMIAL IDEALS , AND MASSEY PRODUCTS
نویسندگان
چکیده
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 combinatorics of the underlying simplicial complex. Applications to the study of non-formal manifolds and subspace arrangements are given.
منابع مشابه
F eb 2 00 6 MOMENT - ANGLE COMPLEXES , MONOMIAL IDEALS , AND MASSEY PRODUCTS GRAHAM
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...
متن کامل. A T ] 6 O ct 2 00 6 MOMENT - ANGLE COMPLEXES , MONOMIAL IDEALS , AND MASSEY PRODUCTS
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...
متن کاملar X iv : m at h . A T / 0 51 24 97 v 3 6 O ct 2 00 6 MOMENT - ANGLE COMPLEXES , MONOMIAL IDEALS , AND MASSEY PRODUCTS
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...
متن کاملar X iv : m at h / 05 12 49 7 v 4 [ m at h . A T ] 8 M ay 2 00 7 MOMENT - ANGLE COMPLEXES , MONOMIAL IDEALS , AND MASSEY PRODUCTS
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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