Geodesic
A presentation for the baseleaf preserving mapping class group of the punctured solenoid
Bonnot, Sylvain1 ; Penner, Robert2 ; Šarić, Dragomir3
1Institute for Mathematical Sciences, Stony Brook University, Stony Brook, NY 11794-3660
2Departments of Mathematics and Physics/Astronomy, University of Southern California, Los Angeles, CA 90089
3Institute 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
Algebraic and Geometric Topology, Tome 7 (2007) no. 3, pp. 1171-1199
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We give a presentation for the baseleaf preserving mapping class group MCG(ℋ) of the punctured solenoid ℋ. The generators for our presentation were introduced previously, and several relations among them were derived. In addition, we show that MCG(ℋ) has no non-trivial central elements. Our main tool is a new complex of triangulations of the disk upon which MCG(ℋ) acts.

DOI : 10.2140/agt.2007.7.1171
Keywords: solenoid, punctured solenoid, baseleaf preserving mapping class group, Whitehead move, presentation, triangulation complex

Bonnot, Sylvain  1   ; Penner, Robert  2   ; Šarić, Dragomir  3

1 Institute for Mathematical Sciences, Stony Brook University, Stony Brook, NY 11794-3660
2 Departments of Mathematics and Physics/Astronomy, University of Southern California, Los Angeles, CA 90089
3 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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Bonnot, Sylvain; Penner, Robert; Šarić, Dragomir. A presentation for the baseleaf preserving mapping class group of the punctured solenoid. Algebraic and Geometric Topology, Tome 7 (2007) no. 3, pp. 1171-1199. doi: 10.2140/agt.2007.7.1171

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