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Free factorization algebras and homology of configuration spaces in algebraic geometry
Published 14 Dec 2015 in math.AG and math.AT | (1512.04490v2)
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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