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Mapping Class Groups and Moduli Spaces of Riemann Surfaces
 
Edited by: Carl-Friedrich Bödigheimer
Richard M. Hain
Mapping Class Groups and Moduli Spaces of Riemann Surfaces
Softcover ISBN:  978-0-8218-5167-8
Product Code:  CONM/150
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7741-8
Product Code:  CONM/150.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5167-8
eBook: ISBN:  978-0-8218-7741-8
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
Add to cart
Mapping Class Groups and Moduli Spaces of Riemann Surfaces
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Mapping Class Groups and Moduli Spaces of Riemann Surfaces
Edited by: Carl-Friedrich Bödigheimer
Richard M. Hain
Softcover ISBN:  978-0-8218-5167-8
Product Code:  CONM/150
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7741-8
Product Code:  CONM/150.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5167-8
eBook ISBN:  978-0-8218-7741-8
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
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 150; 1993; 372 pp
    MSC: 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.
    Readership

    Research 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 $C-C^-$ [ 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 Franz-Reidemeister torsion: low-dimensional 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 algebro-geometric point of view [ MR 1234271 ]
    • Leslie Saper — $L^2$-cohomology of the Weil-Petersson metric [ MR 1234272 ]
    • Wenxiang Wang — On the moduli space of principally polarized abelian varieties [ MR 1234273 ]
    • Peter Zograf — The Weil-Petersson volume of the moduli space of punctured spheres [ MR 1234274 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 150; 1993; 372 pp
MSC: 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.
Readership

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 $C-C^-$ [ 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 Franz-Reidemeister torsion: low-dimensional 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 algebro-geometric point of view [ MR 1234271 ]
  • Leslie Saper — $L^2$-cohomology of the Weil-Petersson metric [ MR 1234272 ]
  • Wenxiang Wang — On the moduli space of principally polarized abelian varieties [ MR 1234273 ]
  • Peter Zograf — The Weil-Petersson volume of the moduli space of punctured spheres [ MR 1234274 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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