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A
presentation for the baseleaf preserving mapping class group
of the punctured solenoid
Sylvain Bonnot, Robert C Penner and Dragomir Šarić |
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Algebraic & Geometric Topology 7 (2007) 1171–1199
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arXiv: math.DS/0608066 |
Abstract |
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We give a presentation for the baseleaf preserving mapping class group of the punctured solenoid . The generators for our presentation were introduced previously, and several relations among them were derived. In addition, we show that has no non-trivial central elements. Our main tool is a new complex of triangulations of the disk upon which acts. |
Keywords
solenoid, punctured solenoid, baseleaf preserving mapping
class group, Whitehead move, presentation, triangulation
complex
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Mathematical Subject Classification 2000
Primary: 57M99
Secondary: 20F65
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References |
Publication
Received: 6 November 2006
Revised: 29 June 2007
Published: 24 September 2007
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Authors |
| Sylvain Bonnot | |
| Institute for Mathematical
Sciences Stony Brook University Stony Brook NY 11794-3660 |
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| http://www.math.sunysb.edu/~bonnot/ | |
| Robert C Penner | |
| Departments of Mathematics and
Physics/Astronomy University of Southern California Los Angeles CA 90089 |
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| http://www-rcf.usc.edu/~rpenner/ | |
| Dragomir Šarić | |
| Institute for Mathematical
Sciences Stony Brook University Stony Brook NY 11794-3660 Current address: Department of Mathematics Queens College of CUNY 65-30 Kissena Blvd Flushing NY 11367 |
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| http://www.math.sunysb.edu/~saric/ | |
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