Free Factorization Algebras and Homology of Configuration Spaces in Algebraic Geometry /

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Bibliographic Details
Author / Creator:Ho, Quoc P., author.
Ann Arbor : ProQuest Dissertations & Theses, 2017
Description:1 electronic resource (79 pages)
Format: E-Resource Dissertations
Local Note:School code: 0330
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Other authors / contributors:University of Chicago. degree granting institution.
Notes:Advisors: Bao-Chau Ngo; Dennis Gaitsgory Committee members: Alexander Beilinson.
This item is not available from ProQuest Dissertations & Theses.
Dissertation Abstracts International, Volume: 78-12(E), Section: B.
Summary: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.