scholarly journals Homology invariants of cyclic coverings with application to links

1972 ◽  
Vol 163 ◽  
pp. 101-101 ◽  
Author(s):  
Y. Shinohara ◽  
D. W. Sumners
Keyword(s):  
Astérisque ◽  
2020 ◽  
Vol 415 ◽  
pp. 195-214
Author(s):  
Albert FATHI
Keyword(s):  

2013 ◽  
Vol 197 (1) ◽  
pp. 1-45 ◽  
Author(s):  
T. N. Venkataramana

1994 ◽  
Vol 82 (1) ◽  
pp. 433-443
Author(s):  
Stefan Müller-Stach
Keyword(s):  

1999 ◽  
Vol 42 (3) ◽  
pp. 575-587 ◽  
Author(s):  
P. Bandieri ◽  
A. C. Kim ◽  
M. Mulazzani

We construct a family of hyperbolic 3-manifolds whose fundamental groups admit a cyclic presentation. We prove that all these manifolds are cyclic branched coverings of S3 over the knot 52 and we compute their homology groups. Moreover, we show that thecyclic presentations correspond to spines of the manifolds.


2019 ◽  
Vol 30 (14) ◽  
pp. 1950072 ◽  
Author(s):  
Naoko Kamada

A virtual link diagram is called mod [Formula: see text] almost classical if it admits an Alexander numbering valued in integers modulo [Formula: see text], and a virtual link is called mod [Formula: see text] almost classical if it has a mod [Formula: see text] almost classical diagram as a representative. In this paper, we introduce a method of constructing a mod [Formula: see text] almost classical virtual link diagram from a given virtual link diagram, which we call an [Formula: see text]-fold cyclic covering diagram. The main result is that [Formula: see text]-fold cyclic covering diagrams obtained from two equivalent virtual link diagrams are equivalent. Thus, we have a well-defined map from the set of virtual links to the set of mod [Formula: see text] almost classical virtual links. Some applications are also given.


2000 ◽  
Vol 353 (3) ◽  
pp. 877-891
Author(s):  
Thomas Bauer ◽  
Sandra Di Rocco ◽  
Tomasz Szemberg

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