| Autor: |
Chen, Liman, Fan, Feifei, Wang, Xiangjun |
| Zdroj: |
SCIENCE CHINA Mathematics; 20240101, Issue: Preprints p1-10, 10p |
| Abstrakt: |
In this paper, we study the topology of moment-angle manifolds and prove a conjecture of S. Gitler and S. López de Medrano concerned with the behavior of the moment-angle manifold under the surgery ‘cutting off a vertex’ on a simple polytope. Let Pbe a simple polytope of dimension nwith mfacets and Pvbe a polytope obtained from Pby cutting off one vertex v. Let Z = Z(P) and Zv= Z(Pv) be the corresponding moment-angle manifolds. S. Gitler and S. López de Medrano conjectured that: Zvis diffeomorphic to , and they proved the conjecture in the case m< 3n. In this paper we prove the conjecture in the general case. |
| Databáze: |
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