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Genus two 3–manifolds are built from handle number one pieces

Eric Sedgwick

Algebraic & Geometric Topology 1 (2001) 763–790
Bibliography
1 A J Casson, C M Gordon, Reducing Heegaard splittings, Topology Appl. 27 (1987) 275 MR918537
2 M Eudave-Muñoz, Incompressible surfaces in tunnel number one knot complements, Topology Appl. 98 (1999) 167 MR1719999
3 C Frohman, The topological uniqueness of triply periodic minimal surfaces in $\mathbb{R}^3$, J. Differential Geom. 31 (1990) 277 MR1030674
4 W Haken, Some results on surfaces in 3–manifolds, from: "Studies in Modern Topology", Math. Assoc. Amer. (distributed by Prentice-Hall, Englewood Cliffs, N.J.) (1968) 39 MR0224071
5 W Jaco, Lectures on three-manifold topology, CBMS Regional Conference Series in Mathematics 43, American Mathematical Society (1980) MR565450
6 K Johannson, Topology and combinatorics of 3–manifolds, Lecture Notes in Mathematics 1599, Springer (1995) MR1439249
7 T Kobayashi, Structures of the Haken manifolds with Heegaard splittings of genus two, Osaka J. Math. 21 (1984) 437 MR752472
8 T Kobayashi, A construction of arbitrarily high degeneration of tunnel numbers of knots under connected sum, J. Knot Theory Ramifications 3 (1994) 179 MR1279920
9 M Lustig, Y Moriah, Closed incompressible surfaces in complements of wide knots and links, Topology Appl. 92 (1999) 1 MR1670164
10 M Scharlemann, Heegaard splittings of compact 3–manifolds, from: "Handbook of geometric topology", North-Holland (2002) 921 MR1886684
11 M Scharlemann, A Thompson, Thin position and Heegaard splittings of the 3–sphere, J. Differential Geom. 39 (1994) 343 MR1267894
12 M Scharlemann, A Thompson, Thin position for 3–manifolds, from: "Geometric topology (Haifa, 1992)", Contemp. Math. 164, Amer. Math. Soc. (1994) 231 MR1282766
13 J Schultens, Additivity of tunnel number for small knots, Comment. Math. Helv. 75 (2000) 353 MR1793793