Dissertation/Thesis Abstract

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.

Indexing (document details)
Advisor: Ozsvath, Peter Steven
School: Columbia University
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
Publication Number: 3420883
ISBN: 978-1-124-18581-1
Copyright © 2021 ProQuest LLC. All rights reserved. Terms and Conditions Privacy Policy Cookie Policy