Advanced Studies in Pure Mathematics 2008; 524 pp; hardcover Volume: 52 ISBN10: 4931469485 ISBN13: 9784931469488 List Price: US$86 Member Price: US$68.80 Order Code: ASPM/52
 This volume is dedicated to Shigeyuki Morita on the occasion of his 60th birthday. It consists of selected papers on recent trends and results in the study of various groups of diffeomorphisms, including mapping class groups, from the point of view of algebraic and differential topology, as well as dynamical ones involving foliations and symplectic or contact diffeomorphisms. Most of the authors were invited speakers or participants of the International Symposium on Groups of Diffeomorphisms 2006, which was held at the University of Tokyo (Komaba) in September 2006. The editors believe that the scope of this volume well reflects Morita's mathematical interests and hope this book inspires not only the specialists in these fields but also a wider audience of mathematicians. Volumes in this series are freely available electronically 5 years postpublication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Graduate students and research mathematicians interested in geometry and topology. Table of Contents  S. R. Fenley  Asymptotic geometry of foliations and pseudoAnosov flowsa survey
 K. Igusa  Pontrjagin classes and higher torsion of sphere bundles
 T. Kitano and T. Morifuji  \(L^2\)torsion invariants and the Magnus representation of the mapping class group
 H.V. Lê and K. Ono  Parameterized GromovWitten invariants and topology of symplectomorphism groups
 R. C. Penner  Mapping class actions on surface group completions
 T. Sakasai  Johnson's homomorphisms and the rational cohomology of subgroups of the mapping class group
 T. Akita  On mod \(p\) RiemannRoch formulae for mapping class groups
 J. S. Birman, T. E. Brendle, and N. Broaddus  Calculating the image of the second JohnsonMorita representation
 J. S. Birman, D. Johnson, and A. Putman  Symplectic Heegaard splittings and linked abelian groups
 D. Burago, S. Ivanov, and L. Polterovich  Conjugationinvariant norms on groups of geometric origin
 H. Endo  A generalization of Chakiris' fibrations
 K. Fujiwara  Subgroups generated by two pseudoAnosov elements in a mapping class group. I. Uniform exponential growth
 K. Gomi  Differential characters and the Steenrod squares
 R. Hain  Relative weight filtrations on completions of mapping class groups
 Y. Kasahara  Remarks on the faithfulness of the Jones representations
 N. Kawazumi  On the stable cohomology algebra of extended mapping class groups for surfaces
 D. Kotschick  Stable length in stable groups
 Y. Mitsumatsu and E. Vogt  Foliations and compact leaves on 4manifolds I. Realization and selfintersection of compact leaves
 S. Morita  Symplectic automorphism groups of nilpotent quotients of fundamental groups of surfaces
 G. Segal and U. Tillmann  Mapping configuration spaces to moduli spaces
 M. Suzuki  New examples of elements in the kernel of the Magnus representation of the Torelli group
 T. Tsuboi  On the simplicity of the group of contactomorphisms
 T. Tsuboi  On the uniform perfectness of diffeomorphism groups
