Local symplectic field theory

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

Generalizing local Gromov-Witten theory, in this paper we define a local version of symplectic field theory. When the symplectic manifold with cylindrical ends is four-dimensional and the underlying simple curve is regular by automatic transversality, we establish a transversality result for all its multiple covers and discuss the resulting algebraic structures. © 2013 World Scientific Publishing Company.
Original languageEnglish
Number of pages16
JournalInternational Journal of Mathematics
Volume24
Issue number5
DOIs
Publication statusPublished - 2013

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Transversality
Field Theory
Symplectic Manifold
Algebraic Structure
Cover
Curve

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title = "Local symplectic field theory",
abstract = "Generalizing local Gromov-Witten theory, in this paper we define a local version of symplectic field theory. When the symplectic manifold with cylindrical ends is four-dimensional and the underlying simple curve is regular by automatic transversality, we establish a transversality result for all its multiple covers and discuss the resulting algebraic structures. {\circledC} 2013 World Scientific Publishing Company.",
author = "O. Fabert",
year = "2013",
doi = "10.1142/S0129167X13500419",
language = "English",
volume = "24",
journal = "International Journal of Mathematics",
issn = "0129-167X",
publisher = "World Scientific Publishing Co. Pte Ltd",
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Local symplectic field theory. / Fabert, O.

In: International Journal of Mathematics, Vol. 24, No. 5, 2013.

Research output: Contribution to JournalArticleAcademicpeer-review

TY - JOUR

T1 - Local symplectic field theory

AU - Fabert, O.

PY - 2013

Y1 - 2013

N2 - Generalizing local Gromov-Witten theory, in this paper we define a local version of symplectic field theory. When the symplectic manifold with cylindrical ends is four-dimensional and the underlying simple curve is regular by automatic transversality, we establish a transversality result for all its multiple covers and discuss the resulting algebraic structures. © 2013 World Scientific Publishing Company.

AB - Generalizing local Gromov-Witten theory, in this paper we define a local version of symplectic field theory. When the symplectic manifold with cylindrical ends is four-dimensional and the underlying simple curve is regular by automatic transversality, we establish a transversality result for all its multiple covers and discuss the resulting algebraic structures. © 2013 World Scientific Publishing Company.

U2 - 10.1142/S0129167X13500419

DO - 10.1142/S0129167X13500419

M3 - Article

VL - 24

JO - International Journal of Mathematics

JF - International Journal of Mathematics

SN - 0129-167X

IS - 5

ER -