Free factorization algebras and homology of configuration spaces in algebraic geometry
arXiv:1512.04490 · doi:10.1007/s00029-017-0339-1
Abstract
We provide a construction of free factorization algebras in algebraic geometry and link factorization homology of a scheme with coefficients in a free factorization algebra to the homology of its (unordered) configuration spaces. As an application, this construction allows for a purely algebro-geometric proof of homological stability of configuration spaces.
The final publication is available at Springer via http://dx.doi.org/doi:10.1007/s00029-017-0339-1, Selecta Mathematica (N.S.) 2017