Surprising Examples of Manifolds in Toric Topology!

Autor:	Baralic, Djordje, Milenkovic, Lazar
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Topology Mathematics - Combinatorics Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	We investigate small covers and quasitoric over the duals of neighborly simplicial polytopes with small number of vertices in dimensions $4$, $5$, $6$ and $7$. In the most of the considered cases we obtain the complete classification of small covers. The lifting conjecture in all cases is verified to be true. The problem of cohomological rigidity for small covers is also studied and we have found a whole new series of weakly cohomologically rigid simple polytopes. New examples of manifolds provide the first known examples of quasitoric manifolds in higher dimensions whose orbit polytopes have chromatic numbers $\chi (P^n)\geq 3n-5$. Comment: 87 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1704.05932 Zobrazit plný text záznamu View this record from Arxiv