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The Fukaya Algebra Over the Integers /

Rabah, Mohamad,

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The Fukaya Algebra Over the Integers /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The Fukaya Algebra Over the Integers // Mohamad Rabah.
作者:	Rabah, Mohamad,
面頁冊數:	1 electronic resource (116 pages)
附註:	Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
Contained By:	Dissertations Abstracts International87-01B.
標題:	Mathematics. -
電子資源:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31996365
ISBN:	9798286457311

The Fukaya Algebra Over the Integers /
Rabah, Mohamad,

The Fukaya Algebra Over the Integers /Mohamad Rabah. - 1 electronic resource (116 pages)

Source: Dissertations Abstracts International, Volume: 87-01, Section: B.

Given a closed, connected, relatively-spin Lagrangian submanifold in a closed symplectic manifold, we associate to it a curved, gapped, filtered, An,K-algebra over the Novikov ring with integer coefficients. Under certain conditions, such an algebra can be extended to an A∞-algebra. To illustrate our framework, we give a proof of the Quantum Lefschetz Hyperplane Theorem in the Kahler case, and associate virtual fundamental classes to the moduli spaces used in local Gromov-Witten theory, in the symplectic case.

English

ISBN: 9798286457311Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Novikov ring

The Fukaya Algebra Over the Integers /
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245 1 0 $a The Fukaya Algebra Over the Integers / $c Mohamad Rabah.
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300 $a 1 electronic resource (116 pages)
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337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
500 $a Advisors: McLean, Mark; Pardon, John Committee members: Plamenevskaya, Olga; Zhou, Zhengyi; Fukaya, Kenji.
502 $b Ph.D. $c State University of New York at Stony Brook $d 2025.
520 $a Given a closed, connected, relatively-spin Lagrangian submanifold in a closed symplectic manifold, we associate to it a curved, gapped, filtered, An,K-algebra over the Novikov ring with integer coefficients. Under certain conditions, such an algebra can be extended to an A∞-algebra. To illustrate our framework, we give a proof of the Quantum Lefschetz Hyperplane Theorem in the Kahler case, and associate virtual fundamental classes to the moduli spaces used in local Gromov-Witten theory, in the symplectic case.
546 $a English
590 $a School code: 0771
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
650 4 $a Applied mathematics. $3 2122814
653 $a Novikov ring
653 $a Gromov-Witten theory
653 $a Symplectic case
690 $a 0405
690 $a 0642
690 $a 0364
710 2 $a State University of New York at Stony Brook. $b Mathematics. $e degree granting institution. $3 3823091
720 1 $a McLean, Mark $e degree supervisor.
720 1 $a Pardon, John $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 87-01B.
790 $a 0771
791 $a Ph.D.
792 $a 2025
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31996365