Under suitable assumptions on the boundary conditions, it is shown that there is a bijective
correspondence between equivalence classes of asymptotic reducibility parameters and …

Page 1 BORIS A. KHESIN ROBERT WENDT Volume 51 Ergebnisse der Mathematik und ihrer
Grenzgebiete 3. Folge A Series of Modern Surveys in Mathematics The Geometry of …

We compute the prepotential of Script N= 2 supersymmetric gauge theories in four
dimensions obtained by toroidal compactifications of gauge theories from 6 dimensions, as …

We review the study of the relation between integrable many-body systems and gauge
theories. We show that the degrees of freedom of integrable systems are related to the …

A bstract In this work we compare different descriptions of the space of vacua of certain three
dimensional\(\mathcal {N}= 4\) superconformal field theories, compactified on a circle and …

A bstract We review some of the properties of 3d\(\mathcal {N}= 4\) theories obtained by
dimensionally reducing theories of class\(\mathcal {S}\). We study 3d partition functions, and …

A bstract The relation between supersymmetric gauge theories in four dimensions and
quantum spin systems is exploited to find an explicit formula for the Jost function of the N …

The spectral curve is the key ingredient in the modern theory of classical integrable systems.
We develop a construction of the``quantum spectral curve''and argue that it takes the …

We develop a self-consistent approach to study the spectral properties of a class of quantum
mechanical operators by using the knowledge about monodromies of 2× 2 linear systems …

We suggest a Hamiltonian formulation for the spin Ruijsenaars–Schneider system in the
trigonometric case. Within this interpretation, the phase space is obtained by a quasi …