Title: Models of Configuration Spaces
Abstract: We consider the configuration space of k points in a closed
manifold M, F(M,k). When M is a nonsingular projective complex
algebraic variety Fulton-MacPherson and Kriz determined the rational
homotopy type of F(M,k) out of the rational homotopy type of M. For
general closed manifolds it is not hard to determine the rational
homotopy type of F(M,2) when M is 2-connected. In this talk we show
how the rational homotopy type of F(M,3) is determined by that of M,
when M is 4-connected.
This is all joint work with Pascal Lambrechts.