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In this thesis we study some computations and applications of Heegaard Floer homology. Specifically, we show how the Floer homology of a torus bundle is always "monic" in a certain sense, extending a result of Ozsváth and Szabó. We also explore the relation between Heegaard Floer homology L-spaces and non-left orderability of three-manifold groups. Finally, we discuss a concordance invariant coming from the Floer homology of ±1-surgeries.
Advisor: | Ozsvath, Peter Steven |
Commitee: | |
School: | Columbia University |
School Location: | United States -- New York |
Source: | DAI-B 71/09, Dissertation Abstracts International |
Source Type: | DISSERTATION |
Subjects: | Mathematics, Computer science |
Keywords: | Heegaard Floer homology, L-spaces, Non-left orderability, Thre-manifold groups, Torus bundles |
Publication Number: | 3420883 |
ISBN: | 978-1-124-18581-1 |