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Homotopy types of moment-angle complexes based on joint work with Jelena

By Grbic Stephen Theriault, Jie Wu and Taras Panov

Abstract

identifying the homotopy type of the moment-angle complex ZK for certain simplicial complexes K; Taras Panov (MSU) Homotopy types of m-a complexes Tokyo 24 Nov 2012 2 / 151. Problems identifying the homotopy type of the moment-angle complex ZK for certain simplicial complexes K; describing the multiplication and higher Massey products in the Tor-algebra H ∗ (ZK) = Tor k[v1,...,vm](k[K], k) of the face ring k[K]; Taras Panov (MSU) Homotopy types of m-a complexes Tokyo 24 Nov 2012 2 / 151. Problems identifying the homotopy type of the moment-angle complex ZK for certain simplicial complexes K; describing the multiplication and higher Massey products in the Tor-algebra H ∗ (ZK) = Tor k[v1,...,vm](k[K], k) of the face ring k[K]; describing the Yoneda algebra Ext k[K](k, k) in terms of generators and relations; Taras Panov (MSU) Homotopy types of m-a complexes Tokyo 24 Nov 2012 2 / 151. Problems identifying the homotopy type of the moment-angle complex ZK for certain simplicial complexes K; describing the multiplication and higher Massey products in the Tor-algebra H ∗ (ZK) = Tor k[v1,...,vm](k[K], k) of the face ring k[K]; describing the Yoneda algebra Ext k[K](k, k) in terms of generators and relations; describing the structure of the Pontryagin algebra H∗(ΩDJ(K)) and its commutator subalgebra H∗(ΩZK) via iterated and higher Whitehead (Samelson) products; Taras Panov (MSU) Homotopy types of m-a complexes Tokyo 24 Nov 2012 2 / 151. Problems identifying the homotopy type of the moment-angle complex ZK for certain simplicial complexes K; describing the multiplication and higher Massey products in the Tor-algebra H ∗ (ZK) = Tor k[v1,...,vm](k[K], k) of the face ring k[K]; describing the Yoneda algebra Ext k[K](k, k) in terms of generators and relations; describing the structure of the Pontryagin algebra H∗(ΩDJ(K)) and its commutator subalgebra H∗(ΩZK) via iterated and higher Whitehead (Samelson) products; identifying the homotopy type of the loop spaces ΩDJ(K) and ΩZK

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.1822
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