Canonical extensions of Morita homomorphisms to the Ptolemy groupoid (Q431033)
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scientific article; zbMATH DE number 6050459
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Canonical extensions of Morita homomorphisms to the Ptolemy groupoid |
scientific article; zbMATH DE number 6050459 |
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Canonical extensions of Morita homomorphisms to the Ptolemy groupoid (English)
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26 June 2012
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In the article under review, the author studies the Johnson filtration for the mapping class group from the point of view of the Ptolemy groupoid. The Ptolemy groupoid is a combinatorial generalization of the mapping class group, and is defined as the fundamental groupoid of a certain space of marked fat-graphs. In the setup, the author is able to construct tautological and infinitesimal extensions of the Morita homomorphisms, as well as infinitesimal extensions of the Johnson homomorphisms.
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mapping class group
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Ptolemy groupoid
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fatgraph
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Johnson homomorphisms
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Morita homomorphisms
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