Pants Decompositions of Random Surfaces
csal
- Guth, Larry Department of Mathematics, University of Toronto, Bahen Centre, 40 St. George St., M5S 2E4, Toronto, Ontario, Canada
- Parlier, Hugo Department of Mathematics, University of Fribourg, Chemin du Musée 23, CH-1700, Fribourg, Switzerland
- Young, Robert Courant Institute of Mathematical Sciences, 251 Mercer St., 10012, New York, NY, USA
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2011
Published in:
- Geometric and Functional Analysis. - SP Birkhäuser Verlag Basel. - 2011, vol. 21, no. 5, p. 1069-1090
English
Our goal is to show, in two different contexts, that "random” surfaces have large pants decompositions. First we show that there are hyperbolic surfaces of genus g for which any pants decomposition requires curves of total length at least g 7/6−ε . Moreover, we prove that this bound holds for most metrics in the moduli space of hyperbolic metrics equipped with the Weil-Petersson volume form. We then consider surfaces obtained by randomly gluing euclidean triangles (with unit side length) together and show that these surfaces have the same property
- Collections
- Language
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- English
- Classification
- Mathematics
- License
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License undefinedSpringer Basel AG, 2011
- Identifiers
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- RERO DOC 313757
- SWISSBIB (NATIONALLICENCE)springer-10.1007/s00039-011-0131-x
- DOI 10.1007/s00039-011-0131-x
- Persistent URL
- https://sonar.ch/global/documents/306682
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