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Mapping class groups and moduli spaces of Riemann surfaces : [electronic resource] proceedings of workshops held June 24-28, 1991, in G�ottingen, Germany, and August 6-10, 1991, in Seattle, Washington ... / Carl-Friedrich B�odigheimer, Richard M. Hain, editors.

Contributor(s): B�odigheimer, Carl-Friedrich, 1956- | Hain, Richard M. (Richard Martin), 1953- | Workshop on Mapping Class Groups and Moduli Spaces of Riemann Surfaces (1991 : G�ottingen, Germany, and Seattle, Wash.)Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 150.Publication details: Providence, R.I. : American Mathematical Society, c1993Description: 1 online resource (xx, 372 p. : ill.)ISBN: 9780821877418 (online)Subject(s): Riemann surfaces -- Congresses | Class groups (Mathematics) -- Congresses | Moduli theory -- CongressesAdditional physical formats: Mapping class groups and moduli spaces of Riemann surfaces :DDC classification: 515/.9223 LOC classification: QA333 | .M37 1993Online resources: Contents | Contents

Contents:

A combinatorial approach to reducibility of mapping classes / Diego Benardete, Mauricio Guti�errez and Zbigniew Nitecki -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01283 Interval exchange spaces and moduli spaces / C.-F. B�odigheimer -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01284 Cohomology of the group of motions of $n$ strings in $3$-space / Alan Brownstein and Ronnie Lee -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01285 Mapping class groups and classical homotopy theory / F. R. Cohen -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01286 Completions of mapping class groups and the cycle $C-C^-$ / Richard M. Hain -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01287 The rational Picard group of the moduli space of Riemann surfaces with spin structure / John L. Harer -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01288 On certain families of compact Riemann surfaces / W. J. Harvey -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01289 On the homology stability for Teichm�uller modular groups: closed surfaces and twisted coefficients / Nikolai V. Ivanov -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01290 Higher Franz-Reidemeister torsion: low-dimensional applications / John R. Klein -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01291 Cohomology of ${\scr M}_3$ and ${\scr M}^1_3$ / Eduard Looijenga -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01292 Logarithmic law for geodesics in moduli space / Howard Masur -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01293 Riemann's moduli space and the symmetric groups / R. James Milgram and R. C. Penner -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01294 Primitive Mumford classes / Jack Morava -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01295 The structure of the mapping class group and characteristic classes of surface bundles / Shigeyuki Morita -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01296 Subvarieties of moduli spaces of curves: open problems from an algebro-geometric point of view / Ian Morrison -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01297 $L^2$-cohomology of the Weil-Petersson metric / Leslie Saper -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01298 On the moduli space of principally polarized abelian varieties / Wenxiang Wang -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01299 The Weil-Petersson volume of the moduli space of punctured spheres / Peter Zograf -- http://www.ams.org/conm/150/ http://dx.doi.org/10.1090/conm/150/01300

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"The Workshops on Mapping Class Groups and Moduli Spaces of Riemann Surfaces were held at the Mathematical Institute of the University of G�ottingen, G�ottingen, Germany."

A combinatorial approach to reducibility of mapping classes / Diego Benardete, Mauricio Guti�errez and Zbigniew Nitecki -- Interval exchange spaces and moduli spaces / C.-F. B�odigheimer -- Cohomology of the group of motions of $n$ strings in $3$-space / Alan Brownstein and Ronnie Lee -- Mapping class groups and classical homotopy theory / F. R. Cohen -- Completions of mapping class groups and the cycle $C-C^-$ / Richard M. Hain -- The rational Picard group of the moduli space of Riemann surfaces with spin structure / John L. Harer -- On certain families of compact Riemann surfaces / W. J. Harvey -- On the homology stability for Teichm�uller modular groups: closed surfaces and twisted coefficients / Nikolai V. Ivanov -- Higher Franz-Reidemeister torsion: low-dimensional applications / John R. Klein -- Cohomology of ${\scr M}_3$ and ${\scr M}^1_3$ / Eduard Looijenga -- Logarithmic law for geodesics in moduli space / Howard Masur -- Riemann's moduli space and the symmetric groups / R. James Milgram and R. C. Penner -- Primitive Mumford classes / Jack Morava -- The structure of the mapping class group and characteristic classes of surface bundles / Shigeyuki Morita -- Subvarieties of moduli spaces of curves: open problems from an algebro-geometric point of view / Ian Morrison -- $L^2$-cohomology of the Weil-Petersson metric / Leslie Saper -- On the moduli space of principally polarized abelian varieties / Wenxiang Wang -- The Weil-Petersson volume of the moduli space of punctured spheres / Peter Zograf --