Free factorization algebras and homology of configuration spaces in algebraic geometry

• Q. P. Hô ^[1]
  1. [1] University of Chicago

     University of Chicago

     City of Chicago, Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 23, Nº. 4, 2017, págs. 2437-2489
• Idioma: inglés
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• Resumen

  • 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.