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|
|School Location:||United States -- New York|
|Source:||DAI-B 71/09, Dissertation Abstracts International|
|Subjects:||Mathematics, Computer science|
|Keywords:||Heegaard Floer homology, L-spaces, Non-left orderability, Thre-manifold groups, Torus bundles|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be