東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Polyfolds of Lagrangian Floer Theory...

Jemison, Michael Louis, Jr.

FindBook

Google Book

Amazon

博客來

Polyfolds of Lagrangian Floer Theory in All Genera.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Polyfolds of Lagrangian Floer Theory in All Genera./
作者:	Jemison, Michael Louis, Jr.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2020,
面頁冊數:	314 p.
附註:	Source: Dissertations Abstracts International, Volume: 81-09, Section: B.
Contained By:	Dissertations Abstracts International81-09B.
標題:	Theoretical mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27663451
ISBN:	9781392549094

Polyfolds of Lagrangian Floer Theory in All Genera.
Jemison, Michael Louis, Jr.

Polyfolds of Lagrangian Floer Theory in All Genera. - Ann Arbor : ProQuest Dissertations & Theses, 2020 - 314 p.

Source: Dissertations Abstracts International, Volume: 81-09, Section: B.

Thesis (Ph.D.)--Princeton University, 2020.

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

This dissertation describes a polyfold approach to the construction of an integrationtheory on moduli spaces of pseudo-holomorphic curves with Lagrangian boundary conditions.Polyfold theory was introduced by Hofer, Wysocki, and Zehnder in a seriesof articles. Polyfolds have been employed to study closed Gromov-Witten theory andSymplectic Field Theory. From its initial introduction, polyfold theory has seen generalizationswhich have allowed for a recyclable and modular construction of moduli spacesarising in symplectic geometry.The present work sets the beginning of a geometric realization of the theory of LagrangianFloer theory in all genera, generalizing the work of Fukaya, Oh, Ohta, and Ono. Similarlyto the construction of Lagrangian Floer theory, construction of Lagrangian Floer theoryin all genera separates into two pieces:1. The construction of an integration theory on the moduli spaces of pseudo-holomorphicmaps with Lagrangian boundary conditions2. An ordered perturbation scheme on these moduli spaces which relates geometry (inparticular integration) along the boundary of a given moduli space in terms of geometryof moduli spaces of lower orderThe present article treats the first of these pieces. The second piece is left to subsequentwork.

ISBN: 9781392549094Subjects--Topical Terms:

3173530
Theoretical mathematics.
Subjects--Index Terms:

Higher genus

Polyfolds of Lagrangian Floer Theory in All Genera.
LDR:02358nmm a2200349 4500 001 2272948
005 20201105110306.5
008 220629s2020 ||||||||||||||||| ||eng d
020 $a 9781392549094
035 $a (MiAaPQ)AAI27663451
035 $a AAI27663451
040 $a MiAaPQ $c MiAaPQ
100 1 $a Jemison, Michael Louis, Jr. $3 3550371
245 1 0 $a Polyfolds of Lagrangian Floer Theory in All Genera.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2020
300 $a 314 p.
500 $a Source: Dissertations Abstracts International, Volume: 81-09, Section: B.
500 $a Advisor: Hofer, Helmut.
502 $a Thesis (Ph.D.)--Princeton University, 2020.
506 $a This item must not be sold to any third party vendors.
520 $a This dissertation describes a polyfold approach to the construction of an integrationtheory on moduli spaces of pseudo-holomorphic curves with Lagrangian boundary conditions.Polyfold theory was introduced by Hofer, Wysocki, and Zehnder in a seriesof articles. Polyfolds have been employed to study closed Gromov-Witten theory andSymplectic Field Theory. From its initial introduction, polyfold theory has seen generalizationswhich have allowed for a recyclable and modular construction of moduli spacesarising in symplectic geometry.The present work sets the beginning of a geometric realization of the theory of LagrangianFloer theory in all genera, generalizing the work of Fukaya, Oh, Ohta, and Ono. Similarlyto the construction of Lagrangian Floer theory, construction of Lagrangian Floer theoryin all genera separates into two pieces:1. The construction of an integration theory on the moduli spaces of pseudo-holomorphicmaps with Lagrangian boundary conditions2. An ordered perturbation scheme on these moduli spaces which relates geometry (inparticular integration) along the boundary of a given moduli space in terms of geometryof moduli spaces of lower orderThe present article treats the first of these pieces. The second piece is left to subsequentwork.
590 $a School code: 0181.
650 4 $a Theoretical mathematics. $3 3173530
653 $a Higher genus
653 $a Lagrangian boundary
653 $a Lagrangian floer theory
653 $a Polyfolds
653 $a Symplectic geometry
690 $a 0642
710 2 $a Princeton University. $b Mathematics. $3 2049791
773 0 $t Dissertations Abstracts International $g 81-09B.
790 $a 0181
791 $a Ph.D.
792 $a 2020
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27663451