Gert-Jan Dugardein

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20132015

most citedNielsen zeta functions for maps on infra-nilmanifolds are rational

2 citations · 3 across the 3 of their papers we have counts for

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math.AT2013★ 1 cited

Nielsen zeta functions on infra-nilmanifolds up to dimension three

Gert-Jan Dugardein

In this paper, we will list all possible self-maps on infra-nilmanifolds up to dimension three and we will give the Nielsen zeta function for any of those maps.

math.AT2013★ 2 cited

Nielsen zeta functions for maps on infra-nilmanifolds are rational

Karel Dekimpe, Gert-Jan Dugardein

In this paper we will show that for any map $f$ on an infra-nilmanifold, the Nielsen number $N (f)$ of this map is either equal to $∣ L (f) ∣$ , where $L (f)$ is the Lefschetz number of…