Franklin

Heegaard Floer Invariants and Cabling [electronic resource].

Author/Creator:
Hom, Jennifer.
Format/Description:
Book
84 p.
Subjects:
Mathematics
Applied mathematics
Local subjects:
0364
0405
Penn dissertations -- Mathematics.
Mathematics -- Penn dissertations.
System Details:
Mode of access: World Wide Web.
Summary:
A natural question in knot theory is to ask how certain properties of a knot behave under satellite operations. We will focus on the satellite operation of cabling, and on Heegaard Floer-theoretic properties. In particular, we will give a formula for the Ozsvath-Szabo concordance invariant tau of iterated cables of a knot K in terms of the cabling parameters, tau( K), and a new concordance invariant, epsilon(K). We show that, in many cases, epsilon gives better bounds on the 4-ball genus of a knot that tau alone, and discuss further applications of epsilon. We will also completely classify when the iterated cable of a knot admits a positive L-space surgery.
Notes:
Thesis (Ph.D. in Mathematics) -- University of Pennsylvania, 2011.
Source: Dissertation Abstracts International, Volume: 72-09, Section: B, page: 5336.
Adviser: Paul Melvin.
Local notes:
School code: 0175.
Contributor:
Melvin, Paul, advisor
University of Pennsylvania.
Contained In:
Dissertation Abstracts International 72-09B.
ISBN:
9781124732336
Access Restriction:
Restricted for use by site license.
Location Notes Your Loan Policy
Description Status Barcode Your Loan Policy