Browsing Mathematics Theses and Dissertations by Subject "Low Dimensional Topology"

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  • Gartner, Michael (University of Oregon, 2020-02-27)
    Let Man* denote the category of closed, connected, oriented and based 3- manifolds, with basepoint preserving dieomorphisms between them. We show that the Heegaard Floer invariants yield functors from Man* to the category ...
  • Bodish, Holt (University of Oregon, 2024-08-07)
    In this thesis we investigate knots and surfaces in $3$- and $4$-manifolds from the perspective of Heegaard Floer homology, knot Floer homology and Khovanov homology. We first investigate the \emph{Cabling Conjecture}, ...

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