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Computations of Heegaard Floer homology: Torus bundles, L-spaces, and correction terms
by Peters, Thomas David, Ph.D., Columbia University, 2010, 88; 3420883
Abstract (Summary)
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: | 9781124185811 |
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