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On Wrapped Fukaya Category and Loop ...

Zhang, Zhongyi.

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On Wrapped Fukaya Category and Loop Space of Lagrangians in a Liouville Manifold.

Record Type:	Electronic resources : Monograph/item
Title/Author:	On Wrapped Fukaya Category and Loop Space of Lagrangians in a Liouville Manifold./
Author:	Zhang, Zhongyi.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2020,
Description:	136 p.
Notes:	Source: Dissertations Abstracts International, Volume: 81-10, Section: B.
Contained By:	Dissertations Abstracts International81-10B.
Subject:	Theoretical mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27836073
ISBN:	9798617024779

On Wrapped Fukaya Category and Loop Space of Lagrangians in a Liouville Manifold.
Zhang, Zhongyi.

On Wrapped Fukaya Category and Loop Space of Lagrangians in a Liouville Manifold. - Ann Arbor : ProQuest Dissertations & Theses, 2020 - 136 p.

Source: Dissertations Abstracts International, Volume: 81-10, Section: B.

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

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

We introduce an $A_\\infty$ map from the cubical chain complex of the based loop space of Lagrangian submanifolds with Legendrian boundary in a Liouville Manifold $C_{*}(\\Omega_{L} \\Lag)$ to wrapped Floer cohomology of Lagrangian submanifold $\\CW.

ISBN: 9798617024779Subjects--Topical Terms:

3173530
Theoretical mathematics.
Subjects--Index Terms:

Geometry

On Wrapped Fukaya Category and Loop Space of Lagrangians in a Liouville Manifold.
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020 $a 9798617024779
035 $a (MiAaPQ)AAI27836073
035 $a AAI27836073
040 $a MiAaPQ $c MiAaPQ
100 1 $a Zhang, Zhongyi. $3 3544916
245 1 0 $a On Wrapped Fukaya Category and Loop Space of Lagrangians in a Liouville Manifold.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2020
300 $a 136 p.
500 $a Source: Dissertations Abstracts International, Volume: 81-10, Section: B.
500 $a Advisor: Abouzaid, Mohammed.
502 $a Thesis (Ph.D.)--Columbia University, 2020.
506 $a This item must not be sold to any third party vendors.
520 $a We introduce an $A_\\infty$ map from the cubical chain complex of the based loop space of Lagrangian submanifolds with Legendrian boundary in a Liouville Manifold $C_{*}(\\Omega_{L} \\Lag)$ to wrapped Floer cohomology of Lagrangian submanifold $\\CW.
520 $a {-*}(L,L)$. In the case of a cotangent bundle and a Lagrangian co-fiber, the composition of our map with the map from $\\CW.
520 $a {-*}(L,L) \o C_{*}(\\Omega_q Q) $ as defined in \\cite{Ab12} shows that this map is split surjective.
590 $a School code: 0054.
650 4 $a Theoretical mathematics. $3 3173530
653 $a Geometry
653 $a Lagrangian
653 $a Liouville
653 $a Symplectic
653 $a Topology
690 $a 0642
710 2 $a Columbia University. $b Mathematics. $3 1684292
773 0 $t Dissertations Abstracts International $g 81-10B.
790 $a 0054
791 $a Ph.D.
792 $a 2020
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27836073