Combinatorial 8-Manifolds having Cohomology of the Quaternionic Projective Plane and Their Nonembeddings
Algebraic Topology
2013-05-07 v1
Abstract
In this paper we prove, that none of the three combinatorial 8- manifolds on 15 vertices constructed by Brehm and Kuhnel, each of which is a cohomology quaternionic projective plane, can be combinatorially embedded in the Euclidean 12-space, though they have tight polyhedral embeddings in Euclidean 14-space. This extends a similar method already known for the nonembeddings of real and complex projective planes.
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Cite
@article{arxiv.1305.1165,
title = {Combinatorial 8-Manifolds having Cohomology of the Quaternionic Projective Plane and Their Nonembeddings},
author = {Satya Deo},
journal= {arXiv preprint arXiv:1305.1165},
year = {2013}
}
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8 pages