Lefschetz and Nielsen Coincidence Numbers on Nilmanifolds and Solvmanifolds, Ii
نویسنده
چکیده
In 10], it was claimed that Nielsen coincidence numbers and Lefschetz coincidence numbers are related by the inequality N (f; g) jL(f; g)j for all maps f; g : S 1 ! S 2 between compact orientable solvmanifolds of the same dimension. It was further claimed that N (f; g) = jL(f; g)j when S 2 is a nilmanifold. A mistake in that paper has been discovered. In this paper, that mistake is partially repaired. A new proof of the equality N (f; g) = jL(f; g)j for nilmanifolds is given, and a variety of conditions for maps on orientable solvmanifolds are established which imply the inequality N (f; g) jL(f; g)j. However, it still remains open whether N (f; g) jL(f; g)j for all maps between orientable solvmanifolds.
منابع مشابه
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تاریخ انتشار 2007