Free factorization algebras and homology of configuration spaces in algebraic geometry
Algebraic Geometry
2021-09-23 v2 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.1512.04490,
title = {Free factorization algebras and homology of configuration spaces in algebraic geometry},
author = {Q. P. Ho},
journal= {arXiv preprint arXiv:1512.04490},
year = {2021}
}
Comments
The final publication is available at Springer via http://dx.doi.org/doi:10.1007/s00029-017-0339-1, Selecta Mathematica (N.S.) 2017