Geodesic
Pressure metrics for deformation spaces of quasifuchsian groups with parabolics
Bray, Harrison1 ; Canary, Richard2 ; Kao, Lien-Yung3
1 Department of Mathematics, George Mason University, Fairfax, VA, United States
2 Department of Mathematics, University of Michigan, Ann Arbor, MI, United States
3 Department of Mathematics, George Washington University, Washington, DC, United States
Algebraic and Geometric Topology, Tome 23 (2023) no. 8, pp. 3615-3653

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

We produce a mapping class group–invariant pressure metric on the space QF ⁡ (S) of quasiconformal deformations of a cofinite-area fuchsian group uniformizing S. Our pressure metric arises from an analytic pressure form on QF ⁡ (S) which is degenerate only on pure bending vectors on the fuchsian locus. Our techniques also show that the Hausdorff dimension of the limit set varies analytically.

DOI : 10.2140/agt.2023.23.3615
Keywords: quasifuchsian groups, pressure metric, entropy

Bray, Harrison 1 ; Canary, Richard 2 ; Kao, Lien-Yung 3

1 Department of Mathematics, George Mason University, Fairfax, VA, United States
2 Department of Mathematics, University of Michigan, Ann Arbor, MI, United States
3 Department of Mathematics, George Washington University, Washington, DC, United States 
@article{10_2140_agt_2023_23_3615,
     author = {Bray, Harrison and Canary, Richard and Kao, Lien-Yung},
     title = {Pressure metrics for deformation spaces of quasifuchsian groups with parabolics},
     journal = {Algebraic and Geometric Topology},
     pages = {3615--3653},
     publisher = {mathdoc},
     volume = {23},
     number = {8},
     year = {2023},
     doi = {10.2140/agt.2023.23.3615},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.3615/}
}
TY  - JOUR
AU  - Bray, Harrison
AU  - Canary, Richard
AU  - Kao, Lien-Yung
TI  - Pressure metrics for deformation spaces of quasifuchsian groups with parabolics
JO  - Algebraic and Geometric Topology
PY  - 2023
SP  - 3615
EP  - 3653
VL  - 23
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.3615/
DO  - 10.2140/agt.2023.23.3615
ID  - 10_2140_agt_2023_23_3615
ER  - 
%0 Journal Article
%A Bray, Harrison
%A Canary, Richard
%A Kao, Lien-Yung
%T Pressure metrics for deformation spaces of quasifuchsian groups with parabolics
%J Algebraic and Geometric Topology
%D 2023
%P 3615-3653
%V 23
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.3615/
%R 10.2140/agt.2023.23.3615
%F 10_2140_agt_2023_23_3615
Bray, Harrison; Canary, Richard; Kao, Lien-Yung. Pressure metrics for deformation spaces of quasifuchsian groups with parabolics. Algebraic and Geometric Topology, Tome 23 (2023) no. 8, pp. 3615-3653. doi: 10.2140/agt.2023.23.3615

Cité par Sources :