We consider the space of graph connections (lattice gauge fields) which can be endowed with a Poisson structure in terms of a ciliated fat graph. (A ciliated fat graph is a graph with a fixed linearâ€¦ (More)

where SÌƒ is a universal cover of S. It defined up to the right action of PSL3(R). A domain D in RP is convex if any line intersects D by a connected segment, possibly empty. A projective structure onâ€¦ (More)

We describe in elementary geometrical terms TeichmÃ¼ller spaces of decorated and holed surfaces. We construct explicit global coordinates on them as well as on the spaces of measured laminations withâ€¦ (More)

We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of Hamiltonian and Poisson reductions. The dualities we study shed some light onâ€¦ (More)

In the Matrix Quantum Mechanical formulation of 2D string theory it is possible to introduce arbitrary tachyonic perturbations. In the case when the tachyonic mo-menta form a lattice, the theory isâ€¦ (More)

Endostatin, a biological active fragment of the extracellular matrix protein collagen XVIII, is known to interfere with cellular motility in the context of pathological angiogenesis. However, theâ€¦ (More)

Cluster ensemble (loc. cit.) is a pair (A,X ) of schemes over Z, called cluster Aand X -varieties, related by a map p : A âˆ’â†’ X . The ring of regular functions on the cluster A-variety is the upperâ€¦ (More)