Ideally, all infinite-type surfaces can be triangulated

McLeay, Alan; PARLIER, Hugo

doi:10.1112/blms.12677

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Ideally, all infinite-type surfaces can be triangulated

McLeay, Alan; PARLIER, Hugo

2022 • In Bull. Lond. Math. Soc., 54 (5), p. 2032--2040

Peer reviewed

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https://hdl.handle.net/10993/53965

DOI
10.1112/blms.12677

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Disciplines :

Mathematics

Author, co-author :

McLeay, Alan

PARLIER, Hugo ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

External co-authors :

yes

Language :

English

Title :

Ideally, all infinite-type surfaces can be triangulated

Publication date :

2022

Journal title :

Bull. Lond. Math. Soc.

ISSN :

0024-6093

Volume :

Issue :

Pages :

2032--2040

Peer reviewed :

Peer reviewed

Commentary :

4523578

Available on ORBilu :

since 19 January 2023

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Bibliography

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A. Basmajian, Hyperbolic structures for surfaces of infinite type, Trans. Amer. Math. Soc. 336 (1993), no. 1, 421–444.
A. Basmajian and D. Šarić, Geodesically complete hyperbolic structures, Math. Proc. Cambridge Philos. Soc. 166 (2019), no. 2, 219–242.
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M. G. Durham, F. Fanoni, and N. Vlamis, Graphs of curves on infinite-type surfaces with mapping class group actions, Ann. Inst. Fourier (Grenoble) 68 (2018), no. 6, 2581–2612.
F. Fanoni, T. Ghaswala, and A. McLeay, Homeomorphic subsurfaces and the omnipresent arcs, Ann. H. Lebesgue, 4 (2021), 1565–1593.
A. Fossas and H. Parlier, Flip graphs for infinite type surfaces, Groups Geom. Dyn. to appear.
M. Korkmaz and A. Papadopoulos, On the ideal triangulation graph of a punctured surface, Ann. Inst. Fourier (Grenoble) 62 (2012), no. 4, 1367–1382.
R. Penner, The decorated Teichmüller space of punctured surfaces, Comm. Math. Phys. 113 (1987), no. 2, 299–339.
I. Richards, On the classification of noncompact surfaces, Trans. Amer. Math. Soc. 106 (1963), 259–269.
D. Šarić, Fenchel-Nielsen coordinates on upper bounded pants decompositions, Math. Proc. Cambridge Philos. Soc. 158 (2015), no. 3, 385–397.