Lei Chen

activity

20172020

most citedThe universal surface bundle over the Torelli space has no sections

1 citations · 2 across the 6 of their papers we have counts for

collaborators

9 papers

math.GT2020

From pure braid groups to hyperbolic groups

Lei Chen

In this note we show that any homomorphism from a pure surface braid group to a torsion-free hyperbolic group either has a cyclic image or factors through a forgetful map. This ext…

math.GT2020

There are no exotic actions of diffeomorphism groups on 1-manifolds

Lei Chen, Kathryn Mann

Let $M$ be a manifold, $N$ a 1-dimensional manifold. Assuming $r \neq = dim (M) + 1$ , we show that any nontrivial homomorphism $ρ : Diff_{c}^{r} (M) \to Homeo (N)$ has a standard…

math.GT2020

Global fixed points of mapping class group actions and a theorem of Markovic

Lei Chen, Nick Salter

We give a short and elementary proof of the non-realizability of the mapping class group via homeomorphisms. This was originally established by Markovic, resolving a conjecture of…

math.GT2020★ 1 cited

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

Lei Chen

Let $Homeo_{+} (D_{n}^{2})$ be the group of orientation-preserving homeomorphisms of $D^{2}$ fixing the boundary pointwise and $n$ marked points as a set. Nielsen realization problem…

math.GT2020

Vanishing of the Euler class in Power subgroups of the punctured mapping class group

Lei Chen

In this paper, we use a result of Dahmani to show that the Euler class of some power subgroup (the subgroup normally generated by a fixed power of Dehn twist about a non-separating…

math.GT2019

Actions of homeomorphism groups of manifolds admitting a nontrivial finite free action

Lei Chen

In this paper, we study the action of $Homeo_{0} (M)$ , the identity component of the group of homeomorphisms of an $n$ -dimensional manifold $M$ with an $F_{p}$ -free acti…