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Open/Closed Correspondence and Mirror Symmetry.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Open/Closed Correspondence and Mirror Symmetry./
Author:	Yu, Song.
Description:	1 online resource (201 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 84-10, Section: B.
Contained By:	Dissertations Abstracts International84-10B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30419041click for full text (PQDT)
ISBN:	9798379420482

Open/Closed Correspondence and Mirror Symmetry.
Yu, Song.

Open/Closed Correspondence and Mirror Symmetry. - 1 online resource (201 pages)

Source: Dissertations Abstracts International, Volume: 84-10, Section: B.

Thesis (Ph.D.)--Columbia University, 2023.

Includes bibliographical references

We develop the mathematical theory of the open/closed correspondence, proposed by Mayr in physics as a class of dualities between open strings on Calabi-Yau 3-folds and closed strings on Calabi-Yau 4-folds. Given an open geometry on a toric Calabi-Yau 3-orbifold relative to a framed Aganagic-Vafa outer brane, we construct a closed geometry on a toric Calabi-Yau 4-orbifold and establish the correspondence between the two geometries on the following levels across both the A- and B-sides of mirror symmetry: numerical Gromov-Witten invariants; generating functions of Gromov-Witten invariants; B-model hypergeometric functions and Givental-style mirror theorems; Picard-Fuchs systems and solutions; integral cycles on Hori-Vafa mirrors and periods; mixed Hodge structures.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798379420482Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Calabi-Yau manifoldsIndex Terms--Genre/Form:

542853
Electronic books.

Open/Closed Correspondence and Mirror Symmetry.
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245 1 0 $a Open/Closed Correspondence and Mirror Symmetry.
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300 $a 1 online resource (201 pages)
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500 $a Source: Dissertations Abstracts International, Volume: 84-10, Section: B.
500 $a Advisor: Liu, Chiu-Chu Melissa.
502 $a Thesis (Ph.D.)--Columbia University, 2023.
504 $a Includes bibliographical references
520 $a We develop the mathematical theory of the open/closed correspondence, proposed by Mayr in physics as a class of dualities between open strings on Calabi-Yau 3-folds and closed strings on Calabi-Yau 4-folds. Given an open geometry on a toric Calabi-Yau 3-orbifold relative to a framed Aganagic-Vafa outer brane, we construct a closed geometry on a toric Calabi-Yau 4-orbifold and establish the correspondence between the two geometries on the following levels across both the A- and B-sides of mirror symmetry: numerical Gromov-Witten invariants; generating functions of Gromov-Witten invariants; B-model hypergeometric functions and Givental-style mirror theorems; Picard-Fuchs systems and solutions; integral cycles on Hori-Vafa mirrors and periods; mixed Hodge structures.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
653 $a Calabi-Yau manifolds
653 $a Gromov-Witten invariants
653 $a Mirror symmetry
653 $a Toric varieties
655 7 $a Electronic books. $2 lcsh $3 542853
690 $a 0405
690 $a 0642
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710 2 $a Columbia University. $b Mathematics. $3 1684292
773 0 $t Dissertations Abstracts International $g 84-10B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30419041 $z click for full text (PQDT)