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tau-invariants for knots in rational...

Raoux, Katherine.

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tau-invariants for knots in rational homology spheres.

Record Type:	Electronic resources : Monograph/item
Title/Author:	tau-invariants for knots in rational homology spheres./
Author:	Raoux, Katherine.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	53 p.
Notes:	Source: Dissertation Abstracts International, Volume: 78-07(E), Section: B.
Contained By:	Dissertation Abstracts International78-07B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10254655
ISBN:	9781369562194

tau-invariants for knots in rational homology spheres.
Raoux, Katherine.

tau-invariants for knots in rational homology spheres. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 53 p.

Source: Dissertation Abstracts International, Volume: 78-07(E), Section: B.

Thesis (Ph.D.)--Brandeis University, 2017.

Ozsvath and Szabo used the knot filtration on the Heegaard-Floer chain complex of the 3-sphere to define the tau-invariant. In this thesis, we generalize their construction and define a collection of tau-invariants, one for each spinc-structure, associated to a rationally null-homologous knot K in a rational homology sphere Y. We also show that these invariants can be used to obtain a lower bound on the genus of a surface with boundary K properly embedded in a negative definite 4-manifold with boundary Y..

ISBN: 9781369562194Subjects--Topical Terms:

515831
Mathematics.

tau-invariants for knots in rational homology spheres.
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245 1 0 $a tau-invariants for knots in rational homology spheres.
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500 $a Source: Dissertation Abstracts International, Volume: 78-07(E), Section: B.
500 $a Adviser: Daniel Ruberman.
502 $a Thesis (Ph.D.)--Brandeis University, 2017.
520 $a Ozsvath and Szabo used the knot filtration on the Heegaard-Floer chain complex of the 3-sphere to define the tau-invariant. In this thesis, we generalize their construction and define a collection of tau-invariants, one for each spinc-structure, associated to a rationally null-homologous knot K in a rational homology sphere Y. We also show that these invariants can be used to obtain a lower bound on the genus of a surface with boundary K properly embedded in a negative definite 4-manifold with boundary Y..
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