7 citations · 33 across the 25 of their papers we have counts for
26 papers
The normal closure of a bounding pair map in its mapping class group
Lei Chen, Weiyan Chen, Justin Lanier
Johnson showed that the normal subgroup of a mapping class group generated by the genus bounding pair maps is equal to the Torelli group. Generalizing Johnson's result, we give…
Mapping class groups of circle bundles over a surface
Lei Chen, Bena Tshishiku
In this paper, we study the algebraic structure of mapping class group of 3-manifolds that fiber as a circle bundle over a surface . T…
Holomorphic maps between configuration spaces of Riemann surfaces
Lei Chen, Nick Salter
We prove a suite of results classifying holomorphic maps between configuration spaces of Riemann surfaces; we consider both the ordered and unordered setting as well as the cases o…
Circle action of the punctured mapping class group and cross homomorphism
Lei Chen
In the following short note, we give a new geometric interpretation of the generator of the infinite cyclic group (this computation i…
Nielsen Realization for sphere twists on 3-manifolds
Lei Chen, Bena Tshishiku
For a 3-manifold M, the twist group Twist(M) is the subgroup of the mapping class group Mod(M) generated by twists about embedded 2-spheres. We study the Nielsen realization proble…
Constraining mapping class group homomorphisms using finite subgroups
Lei Chen, Justin Lanier
We classify homomorphisms from mapping class groups by using finite subgroups. First, we give a new proof of a result of Aramayona--Souto that homomorphisms between mapping class g…