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Softcover ISBN:  9780821851678 
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Product Code:  CONM/150.B 
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Softcover ISBN:  9780821851678 
Product Code:  CONM/150 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821877418 
Product Code:  CONM/150.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821851678 
eBook ISBN:  9780821877418 
Product Code:  CONM/150.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 150; 1993; 372 ppMSC: Primary 14; 30; Secondary 20; 55
The study of mapping class groups and moduli spaces of compact Riemann surfaces is currently a central topic in topology, algebraic geometry, and conformal field theory. This book contains proceedings from two workshops held in the summer of 1991, one at the University of Göttingen and the other at the University of Washington at Seattle. The papers gathered here represent diverse approaches and contain several important new results. With both research and survey articles, this book appeals to mathematicians and physicists.
ReadershipResearch mathematicians and physicists interested in moduli spaces of Riemann surfaces.

Table of Contents

Articles

Diego Benardete, Mauricio Gutiérrez and Zbigniew Nitecki — A combinatorial approach to reducibility of mapping classes [ MR 1234257 ]

C.F. Bödigheimer — Interval exchange spaces and moduli spaces [ MR 1234258 ]

Alan Brownstein and Ronnie Lee — Cohomology of the group of motions of $n$ strings in $3$space [ MR 1234259 ]

F. R. Cohen — Mapping class groups and classical homotopy theory [ MR 1234260 ]

Richard M. Hain — Completions of mapping class groups and the cycle $CC^$ [ MR 1234261 ]

John L. Harer — The rational Picard group of the moduli space of Riemann surfaces with spin structure [ MR 1234262 ]

W. J. Harvey — On certain families of compact Riemann surfaces [ MR 1234263 ]

Nikolai V. Ivanov — On the homology stability for Teichmüller modular groups: closed surfaces and twisted coefficients [ MR 1234264 ]

John R. Klein — Higher FranzReidemeister torsion: lowdimensional applications [ MR 1234265 ]

Eduard Looijenga — Cohomology of ${\scr M}_3$ and ${\scr M}^1_3$ [ MR 1234266 ]

Howard Masur — Logarithmic law for geodesics in moduli space [ MR 1234267 ]

R. James Milgram and R. C. Penner — Riemann’s moduli space and the symmetric groups [ MR 1234268 ]

Jack Morava — Primitive Mumford classes [ MR 1234269 ]

Shigeyuki Morita — The structure of the mapping class group and characteristic classes of surface bundles [ MR 1234270 ]

Ian Morrison — Subvarieties of moduli spaces of curves: open problems from an algebrogeometric point of view [ MR 1234271 ]

Leslie Saper — $L^2$cohomology of the WeilPetersson metric [ MR 1234272 ]

Wenxiang Wang — On the moduli space of principally polarized abelian varieties [ MR 1234273 ]

Peter Zograf — The WeilPetersson volume of the moduli space of punctured spheres [ MR 1234274 ]


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The study of mapping class groups and moduli spaces of compact Riemann surfaces is currently a central topic in topology, algebraic geometry, and conformal field theory. This book contains proceedings from two workshops held in the summer of 1991, one at the University of Göttingen and the other at the University of Washington at Seattle. The papers gathered here represent diverse approaches and contain several important new results. With both research and survey articles, this book appeals to mathematicians and physicists.
Research mathematicians and physicists interested in moduli spaces of Riemann surfaces.

Articles

Diego Benardete, Mauricio Gutiérrez and Zbigniew Nitecki — A combinatorial approach to reducibility of mapping classes [ MR 1234257 ]

C.F. Bödigheimer — Interval exchange spaces and moduli spaces [ MR 1234258 ]

Alan Brownstein and Ronnie Lee — Cohomology of the group of motions of $n$ strings in $3$space [ MR 1234259 ]

F. R. Cohen — Mapping class groups and classical homotopy theory [ MR 1234260 ]

Richard M. Hain — Completions of mapping class groups and the cycle $CC^$ [ MR 1234261 ]

John L. Harer — The rational Picard group of the moduli space of Riemann surfaces with spin structure [ MR 1234262 ]

W. J. Harvey — On certain families of compact Riemann surfaces [ MR 1234263 ]

Nikolai V. Ivanov — On the homology stability for Teichmüller modular groups: closed surfaces and twisted coefficients [ MR 1234264 ]

John R. Klein — Higher FranzReidemeister torsion: lowdimensional applications [ MR 1234265 ]

Eduard Looijenga — Cohomology of ${\scr M}_3$ and ${\scr M}^1_3$ [ MR 1234266 ]

Howard Masur — Logarithmic law for geodesics in moduli space [ MR 1234267 ]

R. James Milgram and R. C. Penner — Riemann’s moduli space and the symmetric groups [ MR 1234268 ]

Jack Morava — Primitive Mumford classes [ MR 1234269 ]

Shigeyuki Morita — The structure of the mapping class group and characteristic classes of surface bundles [ MR 1234270 ]

Ian Morrison — Subvarieties of moduli spaces of curves: open problems from an algebrogeometric point of view [ MR 1234271 ]

Leslie Saper — $L^2$cohomology of the WeilPetersson metric [ MR 1234272 ]

Wenxiang Wang — On the moduli space of principally polarized abelian varieties [ MR 1234273 ]

Peter Zograf — The WeilPetersson volume of the moduli space of punctured spheres [ MR 1234274 ]