On the Johnson Homomorphisms of the Mapping Class Groups of urfaces

Handbook of Group Actions（群作用手册）（第 I 卷）作者：季理真, Papadopoulos, 丘成桐　　 ISBN：978-7-04-041363-2　出版时间：2014-12-25

内封

版权

目录

前辅文

Part I: Geometries and General Group Actions

Geometry of Singular Space

Shing-Tung Yau

References

A Summary of Topics Related to Group Actions

Lizhen Ji

References

Part II: Mapping Class Groups and Teichm¨uller Spaces Actions of Mapping Class Groups

Athanase Papadopoulos

References

The Mapping Class Group Action on the Horofunction Compactification of Teichm¨uller Space

Weixu Su

References

Schottky Space and Teichm¨uller Disks

Frank Herrlich

References

Topological Characterization of the Asymptotically Trivial Mapping Class Group

Ege Fujikawa

References

The Universal Teichm¨uller Space and Diffeomorphisms of the Circle with H¨older Continuous Derivatives

Katsuhiko Matsuzaki

References

On the Johnson Homomorphisms of the Mapping Class Groups of urfaces

References

Part III: Hyperbolic Manifolds and Locally Symmetric Spaces The Geometry and Arithmetic of Kleinian Groups

Gaven JMartin

References

Weakly Commensurable Groups, with Applications to Differential Geometry

Gopal Prasad and Andrei SRapinchuk

References

Part IV: Knot Groups

Representations of Knot Groups into SL(2,C) and Twisted Alexander Polynomials

Takayuki Morifuji

References

Meridional and Non-meridional Epimorphisms between Knot Groups

Masaaki Suzuki

References
- Takao Satoh
- 1 Introduction
- 2 Notation and conventions
- 3 Mapping class groups of surfaces
- 4 Johnson homomorphisms of Aut Fn
- 5 Johnson homomorphisms of Mg,1
- 6 Some other applications of the Johnson homomorphisms
- Acknowledgements

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