Surveys in Contemporary Mathematics: Cohomology of face rings, and torus actions
Surveys in Contemporary Mathematics: Cohomology of face rings, and torus actions
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DOI：
10.1017/cbo9780511666315.006
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发表时间：
2005-06
期刊：
影响因子：
--
通讯作者：
T. Panov
中科院分区：
文献类型：
--
作者：
T. Panov
In this survey article we present several new developments of `toric topology' concerning the cohomology of face rings (also known as Stanley-Reisner algebras). We prove that the integral cohomology algebra of the moment-angle complex Z_K (equivalently, of the complement U(K) of the coordinate subspace arrangement) determined by a simplicial complex K is isomorphic to the Tor-algebra of the face ring of K. Then we analyse Massey products and formality of this algebra by using a generalisation of Hochster's theorem. We also review several related combinatorial results and problems.
