Algebraic & Geometric Topology Volume 17, issue 6 (2017)

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Generalized augmented alternating links and hyperbolic volumes

Colin Adams

Algebraic & Geometric Topology 17 (2017) 3375–3397

DOI: 10.2140/agt.2017.17.3375

Bibliography

1	C C Adams, Thrice-punctured spheres in hyperbolic 3–manifolds, Trans. Amer. Math. Soc. 287 (1985) 645 MR768730
2	C C Adams, Augmented alternating link complements are hyperbolic, from: "Low-dimensional topology and Kleinian groups" (editor D B A Epstein), London Math. Soc. Lecture Note Ser. 112, Cambridge Univ. Press (1986) 115 MR903861
3	C Adams, Bipyramids and bounds on volumes of hyperbolic links, Topology Appl. 222 (2017) 100 MR3630197
4	R Blair, D Futer, M Tomova, Essential surfaces in highly twisted link complements, Algebr. Geom. Topol. 15 (2015) 1501 MR3361143
5	O Dasbach, A Tsvietkova, A refined upper bound for the hyperbolic volume of alternating links and the colored Jones polynomial, Math. Res. Lett. 22 (2015) 1047 MR3391876
6	D Futer, E Kalfagianni, J S Purcell, On diagrammatic bounds of knot volumes and spectral invariants, Geom. Dedicata 147 (2010) 115 MR2660569
7	A Hatcher, Notes on basic 3–manifold topology, book in progress (2007)
8	M Lackenby, The volume of hyperbolic alternating link complements, Proc. London Math. Soc. 88 (2004) 204 MR2018964
9	W Menasco, Closed incompressible surfaces in alternating knot and link complements, Topology 23 (1984) 37 MR721450
10	J S Purcell, Volumes of highly twisted knots and links, Algebr. Geom. Topol. 7 (2007) 93 MR2289805
11	J S Purcell, Slope lengths and generalized augmented links, Comm. Anal. Geom. 16 (2008) 883 MR2471374
12	J S Purcell, Hyperbolic geometry of multiply twisted knots, Comm. Anal. Geom. 18 (2010) 101 MR2660459
13	J S Purcell, An introduction to fully augmented links, from: "Interactions between hyperbolic geometry, quantum topology and number theory" (editors A Champanerkar, O Dasbach, E Kalfagianni, I Kofman, W Neumann, N Stoltzfus), Contemp. Math. 541, Amer. Math. Soc. (2011) 205 MR2796634
14	W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
15	W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982) 357 MR648524