Curve graphs on surfaces of infinite type
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Fossas, Ariadna
École Polytechnique Fédérale de Lausanne, FSB, Section de mathématiques, Switzerland
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Parlier, Hugo
University of Fribourg, Department of Mathematics, Switzerland
Published in:
- Annales Academiae Scientiarum Fennicae Mathematica. - 2015, vol. 40, p. 793–801
English
We define and study analogs of curve graphs for infinite type surfaces. Our definitions use the geometry of a fixed surface and vertices of our graphs are infinite multicurves which are bounded in both a geometric and a topological sense. We show that the graphs we construct are generally connected, infinite diameter and infinite rank.
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Faculty
- Faculté des sciences et de médecine
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Department
- Département de Mathématiques
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Language
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Classification
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Mathematics
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License
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License undefined
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Identifiers
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Persistent URL
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https://folia.unifr.ch/unifr/documents/304465
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