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arXiv · 1305.1165

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

Satya Deo
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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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Satya Deo. 2013-05-06. Combinatorial 8-Manifolds having Cohomology of the Quaternionic Projective Plane and Their Nonembeddings. https://arxiv.org/abs/1305.1165

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