Combinatorial 8-Manifolds having Cohomology of the Quaternionic Projective Plane and Their Nonembeddings - NZJM

New Zealand Journal of Mathematics

Satya Deo¹ 

[1] Harish-Chandra Research Institute, Chhatnag Road, Jhusi,Allahabad 211 019, India.$$

关键词: Factorization;    Combinatorial manifolds;    cohomology quaternionic projective plane;    BK complexes;    G-index of a G-space.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

In this paper we prove, using Z2 − index theory, that none of the three combinatorial 8-manifolds on 15 vertices constructed by Brehm andKühnel, each of which is a cohomology quaternionic projective plane, can be combinatorially embedded in the Euclidean space E12, though they have tight polyhedral embeddings in E14. This extends a similar result, including the method of proof, already known for the nonembeddings of real and complex projective planes.

【 授权许可】

Unknown