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arXiv · 1512.04490

Free factorization algebras and homology of configuration spaces in algebraic geometry

Q. P. Ho
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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.

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Q. P. Ho. 2015-12-14. Free factorization algebras and homology of configuration spaces in algebraic geometry. https://doi.org/10.1007/s00029-017-0339-1

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