• About
    • Login
    View Item 
    •   Institutional Repository Home
    • Electronic Theses and Dissertations
    • Electronic Theses and Dissertations
    • View Item
    •   Institutional Repository Home
    • Electronic Theses and Dissertations
    • Electronic Theses and Dissertations
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of Institutional RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    Cohomology of group theoretic Dehn fillings

    Sun, Bin
    : https://etd.library.vanderbilt.edu/etd-05122019-221719
    http://hdl.handle.net/1803/12295
    : 2019-05-24

    Abstract

    This thesis aims to study cohomology of group theoretic Dehn fillings. For sufficiently deep Dehn fillings of hyperbically embedded subgroups, we first prove that Dehn filling kernels enjoy a particular free product structure, which is termed the Cohen-Lyndon property. We then combine the Cohen-Lyndon property with the Lyndon-Hochschild-Serre spectral sequence to compute cohomology of Dehn filling quotients. As applications, we estimate cohomological dimensions of Dehn fillings quotients, give criterions for Dehn fillings quotients to be of type $FP_{infty}$, and construct useful quotients of acylindrically hyperbolic groups with certain homological properties.
    Show full item record

    Files in this item

    Icon
    Name:
    Dissertation_Bin_Sun.pdf
    Size:
    693.3Kb
    Format:
    PDF
    View/Open

    This item appears in the following collection(s):

    • Electronic Theses and Dissertations

    Connect with Vanderbilt Libraries

    Your Vanderbilt

    • Alumni
    • Current Students
    • Faculty & Staff
    • International Students
    • Media
    • Parents & Family
    • Prospective Students
    • Researchers
    • Sports Fans
    • Visitors & Neighbors

    Support the Jean and Alexander Heard Libraries

    Support the Library...Give Now

    Gifts to the Libraries support the learning and research needs of the entire Vanderbilt community. Learn more about giving to the Libraries.

    Become a Friend of the Libraries

    Quick Links

    • Hours
    • About
    • Employment
    • Staff Directory
    • Accessibility Services
    • Contact
    • Vanderbilt Home
    • Privacy Policy