Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp019880vt394
 Title: Applications of Heegaard Floer Homology to Knot Concordance Authors: Truong, Linh My Advisors: Ozsvath, PeterSzabo, Zoltan Contributors: Mathematics Department Keywords: heegaard floer homologyknot concordanceknot theorylow dimensional topology Subjects: Mathematics Issue Date: 2016 Publisher: Princeton, NJ : Princeton University Abstract: We consider several applications of Heegaard Floer homology to the study of knot concordance. Using the techniques of bordered Heegaard Floer homology, we compute the concordance invariant $\tau$ for a family of satellite knots that generalizes Whitehead doubles. We also construct an integer lift $\tilde\epsilon$ of the concordance invariant $\epsilon$. We introduce an interpretation of $\tilde\epsilon$ in terms of a filtration on $\cfhat(S^3_N K)$ induced by a family of knots $\mu_n \subset S^3_N K$. Finally, we use truncated Heegaard Floer homology to construct a sequence of concordance invariants $\nu_n$ that generalizes previously known concordance invariants $\nu$, $\nu'$, and $\nu^+$. URI: http://arks.princeton.edu/ark:/88435/dsp019880vt394 Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog: http://catalog.princeton.edu/ Type of Material: Academic dissertations (Ph.D.) Language: en Appears in Collections: Mathematics

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