| Autor: |
Kuno, Yusuke, Penner, R. C., Turaev, Vladimir |
| Zdroj: |
Geometriae Dedicata; Dec2013, Vol. 167 Issue 1, p151-166, 16p |
| Abstrakt: |
Combinatorial aspects of the Torelli–Johnson–Morita theory of surface automorphisms are extended to certain subgroups of the mapping class groups. These subgroups are defined relative to a specified homomorphism from the fundamental group of the surface onto an arbitrary group K. For K abelian, there is a combinatorial theory akin to the classical case, for example, providing an explicit cocycle representing the first Johnson homomophism with target Λ 3K. Furthermore, the Earle class with coefficients in K is represented by an explicit cocyle. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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