Geodesic
Mapping class groups of surfaces with noncompact boundary components
Dickmann, Ryan1
1 Department of Mathematics, University of Utah, Salt Lake City, UT, United States, Department of Mathematics, Georgia Institute of Technology, Atlanta, GA, United States
Algebraic and Geometric Topology, Tome 23 (2023) no. 6, pp. 2777-2821

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We show that the pure mapping class group is uniformly perfect for a certain class of infinite-type surfaces with noncompact boundary components. We then combine this result with recent work in the remaining cases to give a complete classification of the perfect and uniformly perfect pure mapping class groups for infinite-type surfaces. We also develop a method to cut a general surface into simpler surfaces and extend some mapping class group results to the general case.

DOI : 10.2140/agt.2023.23.2777
Keywords: mapping class group, infinite-type surface, noncompact boundary

Dickmann, Ryan 1

1 Department of Mathematics, University of Utah, Salt Lake City, UT, United States, Department of Mathematics, Georgia Institute of Technology, Atlanta, GA, United States 
@article{10_2140_agt_2023_23_2777,
     author = {Dickmann, Ryan},
     title = {Mapping class groups of surfaces with noncompact boundary components},
     journal = {Algebraic and Geometric Topology},
     pages = {2777--2821},
     publisher = {mathdoc},
     volume = {23},
     number = {6},
     year = {2023},
     doi = {10.2140/agt.2023.23.2777},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.2777/}
}
TY  - JOUR
AU  - Dickmann, Ryan
TI  - Mapping class groups of surfaces with noncompact boundary components
JO  - Algebraic and Geometric Topology
PY  - 2023
SP  - 2777
EP  - 2821
VL  - 23
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.2777/
DO  - 10.2140/agt.2023.23.2777
ID  - 10_2140_agt_2023_23_2777
ER  - 
%0 Journal Article
%A Dickmann, Ryan
%T Mapping class groups of surfaces with noncompact boundary components
%J Algebraic and Geometric Topology
%D 2023
%P 2777-2821
%V 23
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.2777/
%R 10.2140/agt.2023.23.2777
%F 10_2140_agt_2023_23_2777
Dickmann, Ryan. Mapping class groups of surfaces with noncompact boundary components. Algebraic and Geometric Topology, Tome 23 (2023) no. 6, pp. 2777-2821. doi: 10.2140/agt.2023.23.2777

Cité par Sources :