Hierarchy paths in the Hatcher-Thurston complex
Inspired by works of Masur-Minsky and Mahan Mj, we observe that the Hatcher-Thurston complex of a surface F is an interpolating complex between the pants complex and the curve complex, then we give a hierarchical structure for the Hatcher-Thurston complex. By this hierarchical structure, we show a d...
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| Veröffentlicht in: | Science China. Mathematics 2012-07, Vol.55 (7), p.1479-1486 |
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| container_title | Science China. Mathematics |
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| creator | Ma, JiMing |
| description | Inspired by works of Masur-Minsky and Mahan Mj, we observe that the Hatcher-Thurston complex of a surface F is an interpolating complex between the pants complex and the curve complex, then we give a hierarchical structure for the Hatcher-Thurston complex. By this hierarchical structure, we show a distance formula in the Hatcher-Thurston complex related to subsurfaces of positive genera. As a corollary, we show that the Hatcher-Thurston complex has one end for surface with genus at least three, the proof runs the same line as a result of Masur-Schleimer, the key tool is the distance formula. |
| doi_str_mv | 10.1007/s11425-012-4362-6 |
| format | Article |
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By this hierarchical structure, we show a distance formula in the Hatcher-Thurston complex related to subsurfaces of positive genera. As a corollary, we show that the Hatcher-Thurston complex has one end for surface with genus at least three, the proof runs the same line as a result of Masur-Schleimer, the key tool is the distance formula.</description><identifier>ISSN: 1674-7283</identifier><identifier>ISSN: 1006-9283</identifier><identifier>EISSN: 1869-1862</identifier><identifier>DOI: 10.1007/s11425-012-4362-6</identifier><language>eng</language><publisher>Heidelberg: SP Science China Press</publisher><subject>Applications of Mathematics ; Astronomy ; China ; Hierarchies ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Proving ; Series (mathematics) ; 复杂曲面 ; 层次结构 ; 距离公式 ; 路径</subject><ispartof>Science China. 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| subjects | Applications of Mathematics Astronomy China Hierarchies Mathematical analysis Mathematics Mathematics and Statistics Proving Series (mathematics) 复杂曲面 层次结构 距离公式 路径 |
| title | Hierarchy paths in the Hatcher-Thurston complex |
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