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tau-invariants for knots in rational...

Brandeis University.

tau-invariants for knots in rational homology spheres.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	tau-invariants for knots in rational homology spheres./
Author:	Raoux, Katherine.
Description:	1 online resource (53 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-07(E), Section: B.
Contained By:	Dissertation Abstracts International78-07B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369562194

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

tau-invariants for knots in rational homology spheres. - 1 online resource (53 pages)

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

Thesis (Ph.D.)

Includes bibliographical references

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..

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369562194Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

tau-invariants for knots in rational homology spheres.
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008 190606s2017 xx obm 000 0 eng d
020 $a 9781369562194
035 $a (MiAaPQ)AAI10254655
035 $a (MiAaPQ)brandeis:10642
035 $a AAI10254655
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Raoux, Katherine. $3 1180585
245 1 0 $a tau-invariants for knots in rational homology spheres.
264 0 $c 2017
300 $a 1 online resource (53 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-07(E), Section: B.
500 $a Adviser: Daniel Ruberman.
502 $a Thesis (Ph.D.) $c Brandeis University $d 2017.
504 $a Includes bibliographical references
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..
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
650 4 $a Theoretical mathematics. $3 1180455
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
690 $a 0642
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Brandeis University. $b Mathematics. $3 1180586
773 0 $t Dissertation Abstracts International $g 78-07B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10254655 $z click for full text (PQDT)

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