Algebraic & Geometric Topology Volume 13, issue 5 (2013)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Fiber detection for state surfaces

David Futer

Algebraic & Geometric Topology 13 (2013) 2799–2807

DOI: 10.2140/agt.2013.13.2799

Bibliography

1	C Adams, Noncompact Fuchsian and quasi-Fuchsian surfaces in hyperbolic $3$–manifolds, Algebr. Geom. Topol. 7 (2007) 565 MR2308957
2	P R Cromwell, Homogeneous links, J. London Math. Soc. 39 (1989) 535 MR1002465
3	O T Dasbach, X S Lin, On the head and the tail of the colored Jones polynomial, Compos. Math. 142 (2006) 1332 MR2264669
4	O T Dasbach, X S Lin, A volumish theorem for the Jones polynomial of alternating knots, Pacific J. Math. 231 (2007) 279 MR2346497
5	D Futer, E Kalfagianni, J S Purcell, Dehn filling, volume, and the Jones polynomial, J. Differential Geom. 78 (2008) 429 MR2396249
6	D Futer, E Kalfagianni, J S Purcell, Slopes and colored Jones polynomials of adequate knots, Proc. Amer. Math. Soc. 139 (2011) 1889 MR2763776
7	D Futer, E Kalfagianni, J Purcell, Guts of surfaces and the colored Jones polynomial, Lecture Notes in Mathematics 2069, Springer (2013) MR3024600
8	D Gabai, The Murasugi sum is a natural geometric operation, from: "Low-dimensional topology" (editor S J Lomonaco Jr.), Contemp. Math. 20, Amer. Math. Soc. (1983) 131 MR718138
9	S Garoufalidis, The Jones slopes of a knot, Quantum Topol. 2 (2011) 43 MR2763086
10	D Girão, On the fibration of augmented link complements, to appear in Geom. Dedicata
11	W W Menasco, Polyhedra representation of link complements, from: "Low-dimensional topology" (editor S J Lomonaco Jr.), Contemp. Math. 20, Amer. Math. Soc. (1983) 305 MR718149
12	W Menasco, Closed incompressible surfaces in alternating knot and link complements, Topology 23 (1984) 37 MR721450
13	M Ozawa, Essential state surfaces for knots and links, J. Aust. Math. Soc. 91 (2011) 391 MR2900614
14	J H Przytycki, From Goeritz matrices to quasi-alternating links, from: "The mathematics of knots" (editors M Banagl, D Vogel), Contrib. Math. Comput. Sci. 1, Springer (2011) 257 MR2777853
15	H Seifert, Über das Geschlecht von Knoten, Math. Ann. 110 (1935) 571 MR1512955
16	J R Stallings, Constructions of fibred knots and links, from: "Algebraic and geometric topology, Part 2" (editor R J Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978) 55 MR520522
17	A Stoimenow, Coefficients and non-triviality of the Jones polynomial, J. Reine Angew. Math. 657 (2011) 1 MR2824782