Construction and visualization of branched covering spaces

2016 ◽  
Author(s):  
Sanaz Golbabaei ◽  
Lawrence Roy ◽  
Prashant Kumar ◽  
Eugene Zhang
Keyword(s):  
Covering Spaces ◽  
Branched Covering

Interactive Design and Visualization of Branched Covering Spaces

2018 ◽  
Vol 24 (1) ◽  
pp. 843-852 ◽  
Author(s):  
Lawrence Roy ◽  
Prashant Kumar ◽  
Sanaz Golbabaei ◽  
Yue Zhang ◽  
Eugene Zhang
Keyword(s):  
Interactive Design ◽  
Covering Spaces ◽  
Branched Covering

scholarly journals Constructions of two-fold branched covering spaces

1986 ◽  
Vol 125 (2) ◽  
pp. 415-446 ◽  
Author(s):  
José Montesinos-Amilibia ◽  
Wilbur Whitten
Keyword(s):  
Covering Spaces ◽  
Branched Covering

scholarly journals Cobordism of branched covering spaces

1980 ◽  
Vol 87 (2) ◽  
pp. 335-345 ◽  
Author(s):  
Hugh Hilden ◽  
Robert D. Little
Keyword(s):  
Covering Spaces ◽  
Branched Covering

Homology Invariants

1978 ◽  
Vol 30 (03) ◽  
pp. 655-670 ◽  
Author(s):  
Richard Hartley ◽  
Kunio Murasugi
Keyword(s):  
Homology Group ◽  
Covering Space ◽  
Simple Relationship ◽  
Cyclic Covering ◽  
Covering Spaces ◽  
Homology Groups ◽  
Branched Covering ◽  
The Relationship

There have been few published results concerning the relationship between the homology groups of branched and unbranched covering spaces of knots, despite the fact that these invariants are such powerful invariants for distinguishing knot types and have long been recognised as such [8]. It is well known that a simple relationship exists between these homology groups for cyclic covering spaces (see Example 3 in § 3), however for more complicated covering spaces, little has previously been known about the homology group, H1(M) of the branched covering space or about H1(U), U being the corresponding unbranched covering space, or about the relationship between these two groups.

Suciu’s ribbon 2-knots with isomorphic group

2020 ◽  
Vol 29 (07) ◽  
pp. 2050053
Author(s):  
Taizo Kanenobu ◽  
Toshio Sumi
Keyword(s):  
Homotopy Groups ◽  
Fundamental Groups ◽  
Covering Spaces ◽  
Isomorphic Group ◽  
Branched Covering ◽  
Trefoil Knot

Suciu constructed infinitely many ribbon 2-knots in [Formula: see text] whose knot groups are isomorphic to the trefoil knot group. They are distinguished by the second homotopy groups. We classify these knots by using [Formula: see text]-representations of the fundamental groups of the 2-fold branched covering spaces.

scholarly journals Lifting surgeries to branched covering spaces

1980 ◽  
Vol 259 (1) ◽  
pp. 157-157
Author(s):  
Hugh M. Hilden ◽  
Jos{é Mar{í}a Montesinos
Keyword(s):  
Covering Spaces ◽  
Branched Covering
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