Geodesic
Hyperbolic tangle surgeries and nested links
Harnois, John1 ; Olson, Hayley2 ; Trapp, Rolland3
1 Department of Mathematics, University of Virginia, Charlottesville, VA, United States
2 Department of Mathematics, University of Nebraska, Lincoln, NE, United States
3 Department of Mathematics, California State University, San Bernardino, CA, United States
Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1573-1602

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Changes to gluing patterns for fully augmented links are shown to result in generalized fully augmented links. The first changes considered result in 4–tangle surgeries on hyperbolic fully augmented links that produce hyperbolic generalized fully augmented links. These surgeries motivate the definition of nested links, and a characterization of hyperbolic nested links is given. Finally, the geometry of nested links is compared to that of fully augmented links.

DOI : 10.2140/agt.2018.18.1573
Classification : 57M25, 57M50
Keywords: hyperbolic link, fully augmented link

Harnois, John 1 ; Olson, Hayley 2 ; Trapp, Rolland 3

1 Department of Mathematics, University of Virginia, Charlottesville, VA, United States
2 Department of Mathematics, University of Nebraska, Lincoln, NE, United States
3 Department of Mathematics, California State University, San Bernardino, CA, United States 
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Harnois, John; Olson, Hayley; Trapp, Rolland. Hyperbolic tangle surgeries and nested links. Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1573-1602. doi: 10.2140/agt.2018.18.1573

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