caa a22 4500 605461791 CHVBK 20210128100245.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10114-015-3742-6 doi (NATIONALLICENCE)springer-10.1007/s10114-015-3742-6 Nielsen theory on 3-manifolds covered by S 2 × ℝ [Elektronische Daten] [Daciberg Gonçalves, Peter Wong, Xue Zhao] Let f : M → M be a self-map of a closed manifold M of dimension dim M ≥ 3. The Nielsen number N(f) of f is equal to the minimal number of fixed points of f′ among all self-maps f′ in the homotopy class of f. In this paper, we determine N(f) for all self-maps f when M is a closed 3-manifold with S 2 × ℝ geometry. The calculation of N(f) relies on the induced homomorphisms of f on the fundamental group and on the second homotopy group of M. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Lefschetz number nationallicence Nielsen number nationallicence 3-manifolds nationallicence Gonçalves Daciberg Dept. de Matemática-IME-USP, Caixa Postal 66.281, CEP 05314-970, São Paulo-SP, Brasil aut Wong Peter Department of Mathematics, Bates College, 04240, Lewiston, ME, USA aut Zhao Xue Department of Mathematics & Institute of Mathematics and Interdisciplinary Science, Capital Normal University, 100048, Beijing, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/4(2015-04-01), 615-636 1439-8516 31:4<615 2015 31 10114 https://doi.org/10.1007/s10114-015-3742-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-3742-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gonçalves Daciberg Dept. de Matemática-IME-USP, Caixa Postal 66.281, CEP 05314-970, São Paulo-SP, Brasil aut NATIONALLICENCE 700 1- Wong Peter Department of Mathematics, Bates College, 04240, Lewiston, ME, USA aut NATIONALLICENCE 700 1- Zhao Xue Department of Mathematics & Institute of Mathematics and Interdisciplinary Science, Capital Normal University, 100048, Beijing, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/4(2015-04-01), 615-636 1439-8516 31:4<615 2015 31 10114