Algebraic & Geometric Topology Volume 10, issue 2 (2010)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Degree $\pm1$ self-maps and self-homeomorphisms on prime $3$–manifolds

Hongbin Sun

Algebraic & Geometric Topology 10 (2010) 867–890

DOI: 10.2140/agt.2010.10.867

Bibliography

1	M Boileau, J P Otal, Scindements de Heegaard et groupe des homéotopies des petites variétés de Seifert, Invent. Math. 106 (1991) 85 MR1123375
2	A Hatcher, Notes on basic $3$–manifold topology
3	C Hayat-Legrand, E Kudryavtseva, S Wang, H Zieschang, Degrees of self-mappings of Seifert manifolds with finite fundamental groups, Rend. Istit. Mat. Univ. Trieste 32 (2001) MR1893395
4	J Hempel, Residual finiteness of surface groups, Proc. Amer. Math. Soc. 32 (1972) 323 MR0295352
5	J Hempel, $3$-Manifolds, Ann. of Math. Studies 86, Princeton Univ. Press (1976) MR0415619
6	J Hempel, Residual finiteness for $3$–manifolds, from: "Combinatorial group theory and topology (Alta, Utah, 1984)" (editors S M Gersten, J R Stallings), Ann. of Math. Stud. 111, Princeton Univ. Press (1987) 379 MR895623
7	J A Hillman, The algebraic characterization of geometric $4$–manifolds, London Math. Soc. Lecture Note Ser. 198, Cambridge Univ. Press (1994) MR1275829
8	C Hodgson, J H Rubinstein, Involutions and isotopies of lens spaces, from: "Knot theory and manifolds (Vancouver, B.C., 1983)" (editor D Rolfsen), Lecture Notes in Math. 1144, Springer (1985) 60 MR823282
9	K Ireland, M Rosen, A classical introduction to modern number theory, Graduate Texts in Math. 84, Springer (1990) MR1070716
10	B Jiang, S Wang, Y Q Wu, Homeomorphisms of $3$–manifolds and the realization of Nielsen number, Comm. Anal. Geom. 9 (2001) 825 MR1868922
11	J Kalliongis, D McCullough, $\pi_1$–injective mappings of compact $3$–manifolds, Proc. London Math. Soc. $(3)$ 52 (1986) 173 MR812450
12	D McCullough, Isometries of elliptic $3$–manifolds, J. London Math. Soc. $(2)$ 65 (2002) 167 MR1875143
13	G D Mostow, Strong rigidity of locally symmetric spaces, Annals of Math. Studies 78, Princeton Univ. Press (1973) MR0385004
14	P Olum, Mappings of manifolds and the notion of degree, Ann. of Math. $(2)$ 58 (1953) 458 MR0058212
15	P Olum, On mappings into spaces in which certain homotopy groups vanish, Ann. of Math. $(2)$ 57 (1953) 561 MR0054250
16	P Orlik, Seifert manifolds, Lecture Notes in Math. 291, Springer (1972) MR0426001
17	J H Rubinstein, On $3$–manifolds that have finite fundamental group and contain Klein bottles, Trans. Amer. Math. Soc. 251 (1979) 129 MR531972
18	J H Rubinstein, J S Birman, One-sided Heegaard splittings and homeotopy groups of some $3$–manifolds, Proc. London Math. Soc. $(3)$ 49 (1984) 517 MR759302
19	P Scott, The geometries of $3$–manifolds, Bull. London Math. Soc. 15 (1983) 401 MR705527
20	W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. $($N.S.$)$ 6 (1982) 357 MR648524