| Abstract |
The ordered configuration space of n points in a topological space X, is the collection of all ordered n-
tuples of points in X, where no two coordinates coincide. The symmetric group on n letters acts naturally
on the ordered configuration space, by permuting the coordinates; and the orbit space under this action
is called the unordered configuration space.
I will describe a rational model for configuration spaces of smooth complex projective varieties, which is
simply a differential (bi)graded algebra. By elaborating the action of the symmetric group on this
algebra, we will discuss few results about cohomology of configuration spaces of complex projective
spaces.
|
