Configuration spaces of ℂ ∖ k

2018/01/12 by Schiessl, Christoph
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.09327

Abstract

In this note, we collect mostly known formulas and methods to compute the standard and virtual Poincaré polynomials of the configuration spaces of the plane ℂ ∖ k with k deleted points and compare the answers.

Related

• Configuration Spaces of Points: A User's Guide
• Configurations of points with sum 0
• Restricted configuration spaces
• Configuration spaces and Rⁿ
• Poincare polynomial for the moduli space \mathcal M_0,n(\mathbb C) and the number of points in \mathcal M_0,n(\mathbb F_q)