Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry

In the case of avant de and sans, the English translation is often a conjugated verb (Before they left), or a present participle (Before leaving), rather than the English

In these applications, the probability measures that are involved are replaced by uniform probability measures on discrete point sets, and we use our algorithm to solve the

field through the use of a non commutative algebra of operators generaliz- ing the algebra of classical observables on the corresponding classical phase space.. It

We therefore propose the

Let N be a compact complex manifold of dimension n, with KShler metric of strongly negative curvature, for example a nonsingular quotient of the unit ball in

But for finite depth foliations (which have two sided branching), there are many examples where it is impossible to make the pseudo-Anosov flow transverse to the foliation [Mo5] and

Namely, we will reproduce all clas- sical finite gap solutions of a sigma model from the Bethe ansatz solution for a system of physical particles on the space circle, in a special

Bounded cohomology, classifying spaces, flat bundles, Lie groups, subgroup distortion, stable commutator length, word metrics.. The authors are grateful to the ETH Z¨ urich, the MSRI