On the Equivalence of B-Rigidity and C-Rigidity for Quasitoric Manifolds
For quasitoric manifolds and moment-angle complexes which are central objects recently much studied in toric topology, there are several important notions of rigidity formulated in terms of cohomology rings. The aim of this paper is to show that, among other things, Buchstaber-rigidity (or B-rigidit...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/825850 |
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| _version_ | 1832551683761111040 |
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| author | Jin Hong Kim |
| author_facet | Jin Hong Kim |
| author_sort | Jin Hong Kim |
| collection | DOAJ |
| description | For quasitoric manifolds and moment-angle complexes which are central objects recently much studied in toric topology, there are several important notions of rigidity formulated in terms of cohomology rings. The aim of this paper is to show that, among other things, Buchstaber-rigidity (or B-rigidity) is equivalent to cohomological-rigidity (or C-rigidity) for simple convex polytopes supporting quasitoric manifolds. |
| format | Article |
| id | doaj-art-811aed3b6fe44757877430a85075ad64 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-811aed3b6fe44757877430a85075ad642025-02-03T06:00:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/825850825850On the Equivalence of B-Rigidity and C-Rigidity for Quasitoric ManifoldsJin Hong Kim0Department of Mathematics Education, Chosun University, 309 Pilmundaero, Dong-gu, Gwangju 501-759, Republic of KoreaFor quasitoric manifolds and moment-angle complexes which are central objects recently much studied in toric topology, there are several important notions of rigidity formulated in terms of cohomology rings. The aim of this paper is to show that, among other things, Buchstaber-rigidity (or B-rigidity) is equivalent to cohomological-rigidity (or C-rigidity) for simple convex polytopes supporting quasitoric manifolds.http://dx.doi.org/10.1155/2014/825850 |
| spellingShingle | Jin Hong Kim On the Equivalence of B-Rigidity and C-Rigidity for Quasitoric Manifolds International Journal of Mathematics and Mathematical Sciences |
| title | On the Equivalence of B-Rigidity and C-Rigidity for Quasitoric Manifolds |
| title_full | On the Equivalence of B-Rigidity and C-Rigidity for Quasitoric Manifolds |
| title_fullStr | On the Equivalence of B-Rigidity and C-Rigidity for Quasitoric Manifolds |
| title_full_unstemmed | On the Equivalence of B-Rigidity and C-Rigidity for Quasitoric Manifolds |
| title_short | On the Equivalence of B-Rigidity and C-Rigidity for Quasitoric Manifolds |
| title_sort | on the equivalence of b rigidity and c rigidity for quasitoric manifolds |
| url | http://dx.doi.org/10.1155/2014/825850 |
| work_keys_str_mv | AT jinhongkim ontheequivalenceofbrigidityandcrigidityforquasitoricmanifolds |