scholarly journals The Nielsen Realization Problem

1983 ◽  
Vol 117 (2) ◽  
pp. 235 ◽  
Author(s):  
Steven P. Kerckhoff
Keyword(s):  
Realization Problem ◽  
Nielsen Realization

On the Nielsen realization problem

1981 ◽  
pp. 254-295
Author(s):  
Heiner Zieschang
Keyword(s):  
Realization Problem ◽  
Nielsen Realization

scholarly journals Non-realizability of the pure braid group as area-preserving homeomorphisms

2020 ◽  
pp. 1-12
Author(s):  
LEI CHEN
Keyword(s):  
Braid Group ◽  
Natural Projection ◽  
Realization Problem ◽  
Pure Braid Group ◽  
Rotation Numbers ◽  
Marked Points ◽  
Area Preserving ◽  
Nielsen Realization

Let $\operatorname{Homeo}_{+}(D_{n}^{2})$ be the group of orientation-preserving homeomorphisms of $D^{2}$ fixing the boundary pointwise and $n$ marked points as a set. The Nielsen realization problem for the braid group asks whether the natural projection $p_{n}:\operatorname{Homeo}_{+}(D_{n}^{2})\rightarrow B_{n}:=\unicode[STIX]{x1D70B}_{0}(\operatorname{Homeo}_{+}(D_{n}^{2}))$ has a section over subgroups of $B_{n}$ . All of the previous methods use either torsion or Thurston stability, which do not apply to the pure braid group $PB_{n}$ , the subgroup of $B_{n}$ that fixes $n$ marked points pointwise. In this paper, we show that the pure braid group has no realization inside the area-preserving homeomorphisms using rotation numbers.

Dirichlet’s energy on Teichmüller’s moduli space and the Nielsen realization problem

1996 ◽  
Vol 222 (3) ◽  
pp. 451-464
Author(s):  
A. J. Tromba
Keyword(s):  
Moduli Space ◽  
Realization Problem ◽  
Nielsen Realization

scholarly journals On the generalized Nielsen realization problem

2008 ◽  
pp. 21-33 ◽  
Author(s):  
Jonathan Block ◽  
Shmuel Weinberger
Keyword(s):  
Realization Problem ◽  
Nielsen Realization

Dirichlet’s energy on Teichmüller’s moduli space and the Nielsen realization problem

1996 ◽  
Vol 222 (3) ◽  
pp. 451-464 ◽  
Author(s):  
A. J. Tromba
Keyword(s):  
Moduli Space ◽  
Realization Problem ◽  
Nielsen Realization

scholarly journals The Nielsen realization problem

1980 ◽  
Vol 2 (3) ◽  
pp. 452-455 ◽  
Author(s):  
Steven P. Kerckhoff
Keyword(s):  
Realization Problem ◽  
Nielsen Realization

scholarly journals The Nielsen realization problem for asymptotic Teichmüller modular groups

2013 ◽  
Vol 365 (6) ◽  
pp. 3309-3327
Author(s):  
Ege Fujikawa ◽  
Katsuhiko Matsuzaki
Keyword(s):  
Realization Problem ◽  
Modular Groups ◽  
Nielsen Realization

scholarly journals Characteristic classes of bundles of K3 manifolds and the Nielsen realization problem

2021 ◽  
Vol 3 (1) ◽  
pp. 75-92
Author(s):  
Jeffrey Giansiracusa ◽  
Alexander Kupers ◽  
Bena Tshishiku
Keyword(s):  
Characteristic Classes ◽  
Realization Problem ◽  
Nielsen Realization
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