Geodesic
Comparison of period coordinates and Teichmüller distances
Frankel, Ian1
1 Monroe Township, NJ, United States
Algebraic and Geometric Topology, Tome 24 (2024) no. 5, pp. 2451-2508

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

We show that when two unit-area quadratic differentials are 𝜖–close with respect to good systems of period coordinates and lie over a compact subset K of the moduli space of Riemann surfaces ℳg,n, then their underlying Riemann surfaces are C𝜖α–close in the Teichmüller metric. Here, α depends only on the genus g and the number of marked points, while C depends on K.

DOI : 10.2140/agt.2024.24.2451
Keywords: Teichmüller, quadratic differential, flat surface

Frankel, Ian 1

1 Monroe Township, NJ, United States 
@article{10_2140_agt_2024_24_2451,
     author = {Frankel, Ian},
     title = {Comparison of period coordinates and {Teichm\"uller} distances},
     journal = {Algebraic and Geometric Topology},
     pages = {2451--2508},
     publisher = {mathdoc},
     volume = {24},
     number = {5},
     year = {2024},
     doi = {10.2140/agt.2024.24.2451},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.2451/}
}
TY  - JOUR
AU  - Frankel, Ian
TI  - Comparison of period coordinates and Teichmüller distances
JO  - Algebraic and Geometric Topology
PY  - 2024
SP  - 2451
EP  - 2508
VL  - 24
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.2451/
DO  - 10.2140/agt.2024.24.2451
ID  - 10_2140_agt_2024_24_2451
ER  - 
%0 Journal Article
%A Frankel, Ian
%T Comparison of period coordinates and Teichmüller distances
%J Algebraic and Geometric Topology
%D 2024
%P 2451-2508
%V 24
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.2451/
%R 10.2140/agt.2024.24.2451
%F 10_2140_agt_2024_24_2451
Frankel, Ian. Comparison of period coordinates and Teichmüller distances. Algebraic and Geometric Topology, Tome 24 (2024) no. 5, pp. 2451-2508. doi: 10.2140/agt.2024.24.2451

Cité par Sources :