DC Field | Value | Language |
---|---|---|
dc.contributor.author | Matsumura, Tomoo | ko |
dc.contributor.author | Moore, W. Frank | ko |
dc.date.accessioned | 2015-11-20T10:15:39Z | - |
dc.date.available | 2015-11-20T10:15:39Z | - |
dc.date.created | 2014-07-07 | - |
dc.date.created | 2014-07-07 | - |
dc.date.created | 2014-07-07 | - |
dc.date.issued | 2014-04 | - |
dc.identifier.citation | OSAKA JOURNAL OF MATHEMATICS, v.51, no.2, pp.405 - 423 | - |
dc.identifier.issn | 0030-6126 | - |
dc.identifier.uri | http://hdl.handle.net/10203/201259 | - |
dc.description.abstract | In this paper, we introduce the notion of a connected sum K1 #(Z) K-2 of simplicial complexes K-1 and K-2, as well as define a strong connected sum. Geometrically, the connected sum is motivated by Lerman's symplectic cut applied to a toric orbifold, and algebraically, it is motivated by the connected sum of rings introduced by Ananthnarayan Avramov Moore [1]. We show that the Stanley Reisner ring of a connected sum K-1 #(Z) K-2 is the connected sum of the Stanley Reisner rings of K-1 and K-2 along the Stanley Reisner ring of K-1 boolean AND K-2. The strong connected sum #(Z) K-2 is defined in such a way that when K-1, K-2 are Gorenstein, and Z is a suitable subset of K-1 boolean AND K-2, then the Stanley Reisner ring of K-1 #(Z) K-2 is Gorenstein, by work appearing in [1]. We also show that cutting a simple polytope by a generic hyperplane produces strong connected sums. These algebraic computations can be interpreted in terms of the equivariant cohomology of moment angle complexes and toric orbifolds. | - |
dc.language | English | - |
dc.publisher | OSAKA JOURNAL OF MATHEMATICS | - |
dc.subject | TORUS ACTIONS | - |
dc.subject | RINGS | - |
dc.title | CONNECTED SUMS OF SIMPLICIAL COMPLEXES AND EQUIVARIANT COHOMOLOGY | - |
dc.type | Article | - |
dc.identifier.wosid | 000336882000005 | - |
dc.identifier.scopusid | 2-s2.0-84898757341 | - |
dc.type.rims | ART | - |
dc.citation.volume | 51 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 405 | - |
dc.citation.endingpage | 423 | - |
dc.citation.publicationname | OSAKA JOURNAL OF MATHEMATICS | - |
dc.contributor.nonIdAuthor | Moore, W. Frank | - |
dc.description.isOpenAccess | Y | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | TORUS ACTIONS | - |
dc.subject.keywordPlus | RINGS | - |
dc.subject.keywordPlus | TORUS ACTIONS | - |
dc.subject.keywordPlus | RINGS | - |
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