Filling sets of curves on punctured surfaces
We study filling sets of simple closed curves on punctured surfaces. In particular we study lower bounds on the cardinality of sets of curves that fill and that pairwise intersect at most k times on surfaces with given genus and number of punctures. We are able to establish orders of growth for even...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2016
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| In: |
New York journal of mathematics
Year: 2016, Jahrgang: 22, Pages: 653-666 |
| ISSN: | 1076-9803 |
| Online-Zugang: | Verlag, Volltext: http://nyjm.albany.edu:8000/j/2016/22_653.html
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| Verfasserangaben: | Federica Fanoni and Hugo Parlier |
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| 520 | |a We study filling sets of simple closed curves on punctured surfaces. In particular we study lower bounds on the cardinality of sets of curves that fill and that pairwise intersect at most k times on surfaces with given genus and number of punctures. We are able to establish orders of growth for even k and show that for odd k the orders of growth behave differently. We also study the corresponding questions when one requires that the curves be represented as systoles on hyperbolic complete finite area surfaces. | ||
| 650 | 4 | |a CURVES | |
| 650 | 4 | |a HYPERBOLIC functions | |
| 650 | 4 | |a NUMBER theory | |
| 650 | 4 | |a SET theory | |
| 650 | 4 | |a Simple closed curves | |
| 650 | 4 | |a SURFACES (Geometry) | |
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