Open Access

Finite, Fiber- and Orientation-Preserving Group Actions on Totally Orientable Seifert Manifolds

   | Jul 18, 2019

Cite

[1] F. Bonahon, Geometric structures on 3-manifolds, in: R.J. Daverman, R.B. Sher (eds.), Handbook of Geometric Topology, Elsevier, Amsterdam, 2002, pp. 93–164.10.1016/B978-044482432-5/50004-4Search in Google Scholar

[2] R.D. Canary and D. McCullough, Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups, Mem. Amer. Math. Soc. 172 (2004), no. 812, 218 pp.10.1090/memo/0812Search in Google Scholar

[3] A.L. Edmonds, A topological proof of the equivariant Dehn lemma, Trans. Amer. Math. Soc. 297 (1986), no. 2, 605–615.10.1090/S0002-9947-1986-0854087-XSearch in Google Scholar

[4] J. Hempel, 3-Manifolds, AMS Chelsea Publishing, Providence, 2004.10.1090/chel/349Search in Google Scholar

[5] M. Jankins and W. D. Neumann, Lectures on Seifert Manifolds, Brandeis Lecture Notes, 2, Brandeis University, Waltham, 1983.Search in Google Scholar

[6] J. Kalliongis and A. Miller, The symmetries of genus one handlebodies, Canad. J. Math. 43 (1991), no. 2, 371–404.10.4153/CJM-1991-022-1Search in Google Scholar

[7] J. Kalliongis and R. Ohashi, Finite actions on the 2-sphere, the projective plane and I-bundles over the projective plane, Ars Math. Contemp. 15 (2018), no. 2, 297–321.10.26493/1855-3974.806.c9dSearch in Google Scholar

[8] J.M. Lee, Smooth manifolds, in: J.M. Lee, Introduction to Smooth Manifolds, Graduate Texts in Mathematics, 218, Springer-Verlag, New York, 2003, pp. 1–29.10.1007/978-0-387-21752-9_1Search in Google Scholar

[9] W.H. Meeks and P. Scott, Finite group actions on 3-manifolds, Invent. Math. 86 (1986), no. 2, 287–346.10.1007/BF01389073Search in Google Scholar

[10] W.D. Neumann and F. Raymond, Seifert manifolds, plumbing, μ-invariant and orientation reversing maps, in: K.C. Millett (ed.), Algebraic and geometric topology, Lecture Notes in Math., 664, Springer, Berlin, 1978, pp. 163–196.10.1007/BFb0061699Search in Google Scholar

[11] P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc. 15 (1983), no. 5, 401–487.10.1112/blms/15.5.401Search in Google Scholar

[12] H. Seifert, Topologie Dreidimensionaler Gefaserter Räume, Acta Math. 60 (1933), no. 1, 147–238.10.1007/BF02398271Search in Google Scholar

[13] W.P. Thurston, The Geometry and Topology of Three-Manifolds, Lecture Notes, 1979.Search in Google Scholar

eISSN:
2391-4238
ISSN:
0860-2107
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics