Moment-angle manifolds associated to neighbourly triangulations of spheres
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911640464654336 |
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| author | Solis, Amaranta Membrillo Theriault, Stephen |
| author_facet | Solis, Amaranta Membrillo Theriault, Stephen |
| contents | We show that a moment-angle manifold associated to a neighbourly triangulation of an odd dimensional sphere is homotopy equivalent to a connected sum of products of two spheres, resolving a problem of Buchstaber and Panov. The methods are entirely homotopy theoretic, allowing for an extension to a corresponding result in the case of generalized moment-angle manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01396 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Moment-angle manifolds associated to neighbourly triangulations of spheres Solis, Amaranta Membrillo Theriault, Stephen Algebraic Topology Primary 55P15, 57S12 We show that a moment-angle manifold associated to a neighbourly triangulation of an odd dimensional sphere is homotopy equivalent to a connected sum of products of two spheres, resolving a problem of Buchstaber and Panov. The methods are entirely homotopy theoretic, allowing for an extension to a corresponding result in the case of generalized moment-angle manifolds. |
| title | Moment-angle manifolds associated to neighbourly triangulations of spheres |
| topic | Algebraic Topology Primary 55P15, 57S12 |
| url | https://arxiv.org/abs/2605.01396 |