國立虎尾科技大學 |

Language: English

Back

Unoriented Skein Relations for Grid ...

Columbia University.

Unoriented Skein Relations for Grid Homology and Tangle Floer Homology.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Unoriented Skein Relations for Grid Homology and Tangle Floer Homology./
Author:	Wong, Chuen Ming Mike.
Description:	1 online resource (166 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
Contained By:	Dissertation Abstracts International78-09B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369704242

Unoriented Skein Relations for Grid Homology and Tangle Floer Homology.
Wong, Chuen Ming Mike.

Unoriented Skein Relations for Grid Homology and Tangle Floer Homology. - 1 online resource (166 pages)

Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

Grid homology is a combinatorial version of knot Floer homology. In a previous thesis, the author established an unoriented skein exact triangle for grid homology, giving a combinatorial proof of Manolescu's unoriented skein exact triangle for knot Floer homology, and extending Manolescu's result from Z/2Z coefficients to coefficients in any commutative ring.

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

Mode of access: World Wide Web

ISBN: 9781369704242Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Unoriented Skein Relations for Grid Homology and Tangle Floer Homology.
LDR:02587ntm a2200361Ki 4500 001 909756
005 20180426091045.5
006 m o u
007 cr mn||||a|a||
008 190606s2017 xx obm 000 0 eng d
020 $a 9781369704242
035 $a (MiAaPQ)AAI10269474
035 $a (MiAaPQ)columbia:13877
035 $a AAI10269474
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Wong, Chuen Ming Mike. $3 1180693
245 1 0 $a Unoriented Skein Relations for Grid Homology and Tangle Floer Homology.
264 0 $c 2017
300 $a 1 online resource (166 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: 78-09(E), Section: B.
500 $a Advisers: Robert Lipshitz; Peter S. Ozsvath.
502 $a Thesis (Ph.D.) $c Columbia University $d 2017.
504 $a Includes bibliographical references
520 $a Grid homology is a combinatorial version of knot Floer homology. In a previous thesis, the author established an unoriented skein exact triangle for grid homology, giving a combinatorial proof of Manolescu's unoriented skein exact triangle for knot Floer homology, and extending Manolescu's result from Z/2Z coefficients to coefficients in any commutative ring.
520 $a In Part II of this dissertation, after recalling the combinatorial proof mentioned above, we track the delta-gradings of the maps involved in the skein exact triangle, and use them to establish the Floer-homological sigma-thinness of quasi-alternating links over any commutative ring.
520 $a Tangle Floer homology is a combinatorial extension of knot Floer homology to tangles, introduced by Petkova--Vertesi; it assigns an Ainfinity-(bi)module to each tangle, so that the knot Floer homology of a link L obtained by gluing together tangles T1, ···, Tn can be recovered from a tensor product of the A infinity-(bi)modules assigned to the tangles Ti. Currently, tangle Floer homology has only been defined over Z/2 Z. Part III of this dissertation presents a joint result with Ina Petkova, establishing an analogous unoriented skein relation for tangle Floer homology over Z/2Z, and tracking the delta-gradings involved.
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
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Columbia University. $b Mathematics. $3 1179054
773 0 $t Dissertation Abstracts International $g 78-09B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10269474 $z click for full text (PQDT)

based on 0 review(s)

Multimedia

Reviews

Add a review and share your thoughts with other readers

Export

pickup library