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Some Centrally Symmetric Manifolds
- Publication Year :
- 2014
-
Abstract
- We show existence of centrally symmetric maps on surfaces all of whose faces are quadrangles and pentagons for each orientable genus $g \geq 0$. We also show existence of centrally symmetric maps on surfaces all of whose faces are hexagons for each orientable genus $g = 2k-1$, $k\in \mathbb{N}$. We enumerate centrally symmetric triangulated manifolds of dimensions 2 and 3 with few vertices.<br />Comment: 18 pages
- Subjects :
- Mathematics - Geometric Topology
Mathematics - Combinatorics
52B70, 57M20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1402.4231
- Document Type :
- Working Paper