Manchester Geometry Seminar 2011/2012

Thursday 1 December 2011. The Frank Adams Room (Room 1.212), the Alan Turing Building. 4.15pm

Models for Function Spaces

Andrey Lazarev (University of Leicester)

We construct rational homotopy models for spaces of maps (continuous or smooth), where $X$ and $Y$ are topological spaces or manifolds satisfying some mild technical conditions. The result is formulated in terms of standard homological algebra and relies on the theory of Maurer-Cartan moduli and Maurer-Cartan twisting which is of independent interest.