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On Knotted Surfaces in R4.

Record Type:	Electronic resources : Monograph/item
Title/Author:	On Knotted Surfaces in R4./
Author:	Chen, Mingyue.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
Description:	72 p.
Notes:	Source: Dissertations Abstracts International, Volume: 83-02, Section: B.
Contained By:	Dissertations Abstracts International83-02B.
Subject:	Physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28499474
ISBN:	9798534670899

On Knotted Surfaces in R4.
Chen, Mingyue.

On Knotted Surfaces in R4. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 72 p.

Source: Dissertations Abstracts International, Volume: 83-02, Section: B.

Thesis (Ph.D.)--Harvard University, 2021.

This item must not be sold to any third party vendors.

In this article, we study surface knots, and propose some possible generalizations of the crossing changes in classical knot theory to the surface knot theory. In addition, we study the projections of surface knots into R3and discuss the double point sets in detail, along with the various moves.

ISBN: 9798534670899Subjects--Topical Terms:

516296
Physics.
Subjects--Index Terms:

Surface knots

On Knotted Surfaces in R4.
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100 1 $a Chen, Mingyue. $0 (orcid)0000-0003-2723-7705 $3 3686076
245 1 0 $a On Knotted Surfaces in R4.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2021
300 $a 72 p.
500 $a Source: Dissertations Abstracts International, Volume: 83-02, Section: B.
500 $a Advisor: Taubes, Clifford;Vafa, Cumrun.
502 $a Thesis (Ph.D.)--Harvard University, 2021.
506 $a This item must not be sold to any third party vendors.
520 $a In this article, we study surface knots, and propose some possible generalizations of the crossing changes in classical knot theory to the surface knot theory. In addition, we study the projections of surface knots into R3and discuss the double point sets in detail, along with the various moves.
590 $a School code: 0084.
650 4 $a Physics. $3 516296
650 4 $a Theoretical mathematics. $3 3173530
650 4 $a Mathematics. $3 515831
650 4 $a Motion pictures. $3 527819
650 4 $a Surgery. $3 707153
650 4 $a Neighborhoods. $3 993475
650 4 $a Knots. $3 3686077
653 $a Surface knots
653 $a Crossing changes
653 $a Knot theory
653 $a Projections
653 $a Double point sets
690 $a 0605
690 $a 0642
690 $a 0405
690 $a 0576
710 2 $a Harvard University. $b Physics. $3 2094825
773 0 $t Dissertations Abstracts International $g 83-02B.
790 $a 0084
791 $a Ph.D.
792 $a 2021
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28499474