Sergey Natanzon (Independent University of Moscow)
The Topological String Theory is a topological approximation of a String Theory. The String Theory is a modern variant of a physical "Theory of Everything". In string theory we assume that a particle is not a point, but a one-dimensional object. Hence a trajectory of the particle is a surface. It the topological approximation we consider that the probability of a trajectory depend only on the topological type of the surface and the parameters of creation/annihilation of the particle. This assumption leads to a simple system of axioms that appear independently in different fields of mathematics from abstract algebra to integrable systems.