Notes for BBS/Polyak-100708-134550.jpg

Abstract: Complex enumerative geometry deals with counting algebraic-geometric objects satisfying certain restrictions. I will discuss various real counterparts of such problems in different dimensions and with various tangency/passage conditions, involving both rigid algebraic and flexible differential-topological objects. I will then relate this type of problems to the theory of finite type invariants and propose a general setting to produce such invariants using maps of configuration spaces and homology intersections.

See also "Enumerative geometry and finite type invariants", on Misha Polyak's publications page.