Proceedings of the American Mathematical Society

A note on the reducibility of automorphisms of the Klein curve and the $\eta$ -invariant of mapping tori

Author(s): Takayuki Morifuji
Journal: Proc. Amer. Math. Soc. 126 (1998), 1945-1947.
MSC (1991): Primary 20F05, 57R20; Secondary 57M10, 57S25
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Abstract: We give a characterization for the reducibility of automorphisms of the genus 3 Klein curve in terms of the $\eta$ -invariant of finite order mapping tori.

[1]: M. F. Atiyah, On framings of 3-manifolds, Topology 29 (1990), 1-7. MR 91g:57025
[2]: M. F. Atiyah, V. K. Patodi, I. M. Singer, Spectral asymmetry and Riemannian geometry I, Math. Proc. Camb. Phil. Soc. 77 (1975), 43-69. MR 53:1655a
[3]: M. Conder, Hurwitz groups: A brief survey, Bull. A.M.S. New Ser. 23 (1990), 359-370. MR 91d:20032
[4]: I. M. Isaacs, Character theory of finite groups, Academic Press, New York (1990). CMP 94:14
[5]: Y. Kasahara, Reducibility and orders of periodic automorphisms of surfaces, Osaka J. Math. 28 (1991), 985-997. MR 93g:57021
[6]: A. Matsuura, The automorphism group of the Klein curve in the mapping class group of genus 3, Proc. Japan Acad. 72 Ser. A (1996), 139-140. CMP 97:04
[7]: W. Meyer, Die Signatur von Flächenbündeln, Math. Ann. 201 (1973), 239-264. MR 48:9715
[8]: T. Morifuji, The $\eta$ -invariant of mapping tori with finite monodromies, Topology Appl. 75 (1997), 41-49. CMP 97:05

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