Volume 150, Issue 3 – November 1999

## Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices

Pages 743-773 by Edward R. Goetze, Ralf J. Spatzier

## Doubles of groups and hyperbolic LERF 3-manifolds

Pages 775-806 by Rita Gitik

## On explicit lifts of cusp forms from $\mathrm{GL}_m$ to classical groups

Pages 807-866 by David Ginzburg, Stephen Rallis, David Soudry

## Dwork’s conjecture on unit root zeta functions

Pages 867-927 by Daqing Wan

## Permanents, Pfaffian orientations, and even directed circuits

Pages 929-975 by Neil Robertson, Paul D. Seymour, Robin Thomas

## Lattice point problems and distribution of values of quadratic forms

Pages 977-1027 by V. Bentkus, F. Götze

## A new approach to inverse spectral theory, I. Fundamental formalism

Pages 1029-1057 by Barry Simon

## Gromov’s measure equivalence and rigidity of higher rank lattices

Pages 1059-1081 by Alex Furman

## The Cassels-Tate pairing on polarized abelian varieties

Pages 1109-1149 by Bjorn Poonen, Michael Stoll

## A secondary Chern-Euler class

Pages 1151-1158 by Ji-Ping Sha

## Metal-insulator transition for the almost Mathieu operator

Pages 1159-1175 by Svetlana Jitomirskaya

## Addendum: Classification of irreducible holonomies of torsion-free affine connections

Pages 1177-1179 by Sergei Merkulov, Lorenz Schwachhöfer