Computations of Heegaard Floer homology: Torus bundles, L-spaces, and correction terms
详细信息
- 作者：Peters ; Thomas David ; Ph.D.
- 学历：Ph.D.
- 年：2010
- 关键词：L-spaces ; Non-left orderability ; Thre-manifold gro
- 导师：Ozsvath, Peter Steven
- 毕业院校：Columbia University
- 专业：Mathematics, Computer science
- ISBN：9781124185811
- CBH：3420883
- Country：USA
- 语种：English
- FileSize：2214738
- Pages：98
文摘
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.
L -spaces and non-left orderability of three-manifold groups. Finally, we discuss a concordance invariant coming from the Floer homology of ±1-surgeries.