Generating the Torelli group (Q353419)
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scientific article; zbMATH DE number 6187662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generating the Torelli group |
scientific article; zbMATH DE number 6187662 |
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Generating the Torelli group (English)
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12 July 2013
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Summary: We give a new proof of the theorem of Birman-Powell that the Torelli subgroup of the mapping classgroup of a closed orientable surface of genus at least 3 is generated by simple homeomorphisms known as bounding pair maps. The key ingredient is a proof that the subcomplex of the curve complex of the surface spanned by curves within a fixed homology class is connected.
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multicurves
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complex of curves
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surface
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bounding pair maps
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mapping class group
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