Contents of Volume 20, Number 4

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The module structure of a group action on a polynomial ring: A finiteness theorem

Dikran B. Karagueuzian; Peter Symonds
J. Amer. Math. Soc. 20 (2007), 931-967.
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Edge coloring models and reflection positivity

Balázs Szegedy
J. Amer. Math. Soc. 20 (2007), 969-988.
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An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension

T. H. Lenagan; Agata Smoktunowicz
J. Amer. Math. Soc. 20 (2007), 989-1001.
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Finite group extensions and the Atiyah conjecture

Peter Linnell; Thomas Schick
J. Amer. Math. Soc. 20 (2007), 1003-1051.
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Lower bounds on volumes of hyperbolic Haken 3-manifolds

Ian Agol; Peter A. Storm; William P. Thurston; with an appendix by Nathan Dunfield
J. Amer. Math. Soc. 20 (2007), 1053-1077.
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An algebro-geometric proof of Witten's conjecture

M. E. Kazarian; S. K. Lando
J. Amer. Math. Soc. 20 (2007), 1079-1089.
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On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds

Jie Qing; Gang Tian
J. Amer. Math. Soc. 20 (2007), 1091-1110.
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Tropical discriminants

Alicia Dickenstein; Eva Maria Feichtner; Bernd Sturmfels
J. Amer. Math. Soc. 20 (2007), 1111-1133.
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Rational points on compactifications of semi-simple groups

Joseph Shalika; Ramin Takloo-Bighash; Yuri Tschinkel
J. Amer. Math. Soc. 20 (2007), 1135-1186.
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