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The subgroup of \(\Delta_2\) generated by automorphisms of tori. (English) Zbl 0424.57022


MSC:

57R90 Other types of cobordism
57R50 Differential topological aspects of diffeomorphisms
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References:

[1] Birman, J.S., Chillingworth, D.R.J.: On the homeotopy group of a non-orientable surface. Proc. Camb. Phil. Soc.71, 437-448 (1972) · Zbl 0232.57001 · doi:10.1017/S0305004100050714
[2] Bonahon, F.: Cobordisme des diffeomorphismes de surfaces. C. R. Acad. Sci. Paris (to appear) · Zbl 0464.57017
[3] Casson, A.: Cobordism invariants of automorphisms of surfaces. Publ. Math. I.H.E.S. (to appear 1979) · Zbl 0312.55003
[4] Chillingworth, D.R.J.: A finite set of generators for the homeotopy group of a non-orientable surface. Proc. Camb. Phil. Soc.65, 409-430 (1969) · Zbl 0172.48801 · doi:10.1017/S0305004100044388
[5] Hempel, J.: 3-Manifolds. In: Annals of Mathematics Studies, Vol. 86. Princeton: Princeton University Press 1976 · Zbl 0345.57001
[6] Johannson, K.: Equivalences d’homotopie des varietes de dimension 3. C. R. Acad. Sci. Paris281, 1009-1010 (1975) · Zbl 0313.57003
[7] Johannson, K.: On the mapping class group of sufficiently large 3-manifolds. Topology of low-dimensional manifolds, 1977. In: Lecture Notes in Mathematics, No. 722, pp. 48-66. Berlin, Heidelberg, New York: Springer 1979
[8] Johannson, K., Johnson, D.: Non-bording diffeomorphisms of surfaces which act trivially on homology (to appear)
[9] Kreck, M.: Bordism of diffeomorphisms. Bull. Am. Math. Soc.82, 353-361 (1976) · Zbl 0329.57014 · doi:10.1090/S0002-9904-1976-14154-7
[10] Levine, J.: Invariants of Knot cobordism. Invent. Math.8, 98-110 (1969) · Zbl 0179.52401 · doi:10.1007/BF01404613
[11] Thurston, W.: On the geometry and dynamics of diffeomorphisms of surfaces (to appear) · Zbl 0674.57008
[12] Waldhausen, F.: On irreducible 3-manifolds which are sufficiently large. Ann. of Math.87, 56-88 (1968) · Zbl 0157.30603 · doi:10.2307/1970594
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