Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.

### Volume 152, Number 2

#### Publication Date: 1 April 2010

Pursuing the double affine Grassmannian, I: Transversal slices via instantons on $A_k$-singularities

Alexander Braverman and Michael Finkelberg; 175-206

A relative trace identity between ${\rm GL}_{2n}$ and $\widetilde{\mathrm{Sp}}_n$

Zhengyu Mao and Stephen Rallis; 207-255

Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs

Enno Lenzmann and Mathieu Lewin; 257-315

Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants

Samuel Grushevsky and Igor Krichever; 317-371