DC Field | Value | Language |
---|---|---|
dc.contributor.author | Luo, Shisen | ko |
dc.contributor.author | Matsumura, Tomoo | ko |
dc.contributor.author | Moore, W. Frank | ko |
dc.date.accessioned | 2015-11-20T10:16:54Z | - |
dc.date.available | 2015-11-20T10:16:54Z | - |
dc.date.created | 2014-03-03 | - |
dc.date.created | 2014-03-03 | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | ALGEBRAIC AND GEOMETRIC TOPOLOGY, v.14, no.1, pp.379 - 406 | - |
dc.identifier.issn | 1472-2739 | - |
dc.identifier.uri | http://hdl.handle.net/10203/201285 | - |
dc.description.abstract | Let Z(K) subset of C-m be the moment angle complex associated to a simplicial complex K on [m], together with the natural action of the torus T = U(1)(m). Let G subset of T be a ( possibly disconnected) closed subgroup and R := T/G. Let Z[K] be the Stanley-Reisner ring of K and consider Z[R*] := H*(BR; Z) as a subring of Z[T*] := H*(BT; Z). We prove that H-G*(Z(K); Z) is isomorphic to Tor(Z[R*])*(Z[K]; Z) as a graded module over Z[T*]. Based on this, we characterize the surjectivity of H-T*(Z(K); Z) -> H-G*(Z(K); Z) (ie H-G(odd)(Z(K); Z) = 0) in terms of the vanishing of Tor(Z[R*])*(Z[K], Z) and discuss its relation to the freeness and the torsion-freeness of Z[K] over Z[R*]. For various toric orbifolds chi, by which we mean quasitoric orbifolds or toric Deligne-Mumford stacks, the cohomology of chi can be identified with H-G*(Z(K)) with appropriate K and G and the above results mean that H*(chi: Z) congruent to Tor(Z[R*])*(Z[K], Z) and that H-odd(chi; Z) = 0 if and only if H*(chi; Z) is the quotient H-R*(chi; Z). | - |
dc.language | English | - |
dc.publisher | GEOMETRY & TOPOLOGY PUBLICATIONS | - |
dc.subject | HAMILTONIAN TORUS ACTIONS | - |
dc.subject | DELIGNE-MUMFORD STACKS | - |
dc.subject | EQUIVARIANT COHOMOLOGY | - |
dc.subject | SYMPLECTIC ORBIFOLDS | - |
dc.subject | TORIC VARIETIES | - |
dc.title | Moment angle complexes and big Cohen-Macaulayness | - |
dc.type | Article | - |
dc.identifier.wosid | 000330507800013 | - |
dc.identifier.scopusid | 2-s2.0-84889573833 | - |
dc.type.rims | ART | - |
dc.citation.volume | 14 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 379 | - |
dc.citation.endingpage | 406 | - |
dc.citation.publicationname | ALGEBRAIC AND GEOMETRIC TOPOLOGY | - |
dc.identifier.doi | 10.2140/agt.2014.14.379 | - |
dc.contributor.nonIdAuthor | Luo, Shisen | - |
dc.contributor.nonIdAuthor | Moore, W. Frank | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | HAMILTONIAN TORUS ACTIONS | - |
dc.subject.keywordPlus | DELIGNE-MUMFORD STACKS | - |
dc.subject.keywordPlus | EQUIVARIANT COHOMOLOGY | - |
dc.subject.keywordPlus | SYMPLECTIC ORBIFOLDS | - |
dc.subject.keywordPlus | TORIC VARIETIES | - |
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