Lei Chen

activity

20172022

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

1 citations · 2 across the 7 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

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…

math.GT2019

Actions of $2$ -groups of bounded exponent on manifolds

Lei Chen

In this paper, we show that an infinite 2-group of bounded exponent cannot act faithfully and smoothly on compact manifolds.

math.GT2019

Non-realizability of the Torelli group as area-preserving homeomorphisms

Lei Chen, Vladimir Markovic

Nielsen realization problem for the mapping class group $Mod (S_{g})$ asks whether the natural projection $p_{g} : Homeo_{+} (S_{g}) \to Mod (S_{g})$ has a section. While all…

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

Actions of 2-groups of bounded exponent on manifolds

Non-realizability of the Torelli group as area-preserving homeomorphisms

Actions of $2$ -groups of bounded exponent on manifolds