C o n t e n t s
Preface
I. Cohomological, Combinatorial and Algebraic Structure
Four Questions about Mapping Class Groups
M. BESTVINA 3
Some Problems on Mapping Class Groups and Moduli Space
B. FARB 11
Finiteness and Torelli Spaces
R. HAIN 57
Fifteen Problems about the Mapping Class Groups
N. IVANOV 71
Problems on Homomorphisms of Mapping Class Groups
M. KORKMAZ 81
The Mapping Class Group and Homotopy Theory
I. MADSEN 91
Probing Mapping Class Groups Using Arcs
R. PENNER 97
Relations in the Mapping Class Group
B. WAJNRYB 115
II. Connections wit h 3-manifolds, Symplectic Geometr y and
Algebraic Geometr y
Mapping Class Group Factorizations and Symplectic 4-manifolds: Some Open
Problems
D. AUROUX 123
The Topology of 3-manifolds, Heegaard Distance and the Mapping Class
Group of a 2-manifold
J. BIRMAN 133
Lefschetz Pencils and Mapping Class Groups
S.K. DONALDSON 151
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