Williams, Gerald (2025) 3-manifold spine cyclic presentations with seldom seen Whitehead graphs. Canadian Mathematical Bulletin. pp. 1-19. DOI https://doi.org/10.4153/s0008439525000396
Williams, Gerald (2025) 3-manifold spine cyclic presentations with seldom seen Whitehead graphs. Canadian Mathematical Bulletin. pp. 1-19. DOI https://doi.org/10.4153/s0008439525000396
Williams, Gerald (2025) 3-manifold spine cyclic presentations with seldom seen Whitehead graphs. Canadian Mathematical Bulletin. pp. 1-19. DOI https://doi.org/10.4153/s0008439525000396
Abstract
We consider a family of cyclic presentations and showthat, subject to certain conditions on the defining parameters, they are spines of closed 3-manifolds. These are new examples where the reduced Whitehead graphs are of the same type as those of the Fractional Fibonacci presentations; here the corresponding manifolds are often (but not always) hyperbolic.We also express a lens space construction in terms of a class of positive cyclic presentations that are spines of closed 3-manifolds. These presentations then furnish exampleswhere theWhitehead graphs are of the same type as those of the positive cyclic presentations of type Z, as considered byMcDermott.
Item Type: | Article |
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Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 07 Oct 2025 15:23 |
Last Modified: | 07 Oct 2025 15:23 |
URI: | http://repository.essex.ac.uk/id/eprint/41699 |
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