Diffeomorphism type of symplectic fillings of unit cotangent bundles

Hansjörg Geiges; Myeonggi Kwon; Kai Zehmisch

doi:10.1142/S1793525321500424

Diffeomorphism type of symplectic fillings of unit cotangent bundles

Hansjörg Geiges
, Myeonggi Kwon
, Kai Zehmisch

Department of Mathematics Education

University of Cologne
Sunchon National University
Ruhr University Bochum

Research output: Contribution to journal › Journal article › peer-review

4 Scopus citations

Abstract

We prove uniqueness, up to diffeomorphism, of symplectically aspherical fillings of certain unit cotangent bundles, including those of higher-dimensional tori.

Original language	English
Pages (from-to)	683-705
Number of pages	23
Journal	Journal of Topology and Analysis
Volume	15
Issue number	3
DOIs	https://doi.org/10.1142/S1793525321500424
State	Published - 2023.09.1

Keywords

Contact manifold
moduli space of holomorphic curves
symplectic filling
unit cotangent bundle

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10.1142/S1793525321500424

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title = "Diffeomorphism type of symplectic fillings of unit cotangent bundles",

abstract = "We prove uniqueness, up to diffeomorphism, of symplectically aspherical fillings of certain unit cotangent bundles, including those of higher-dimensional tori.",

keywords = "Contact manifold, moduli space of holomorphic curves, symplectic filling, unit cotangent bundle",

author = "Hansj{\"o}rg Geiges and Myeonggi Kwon and Kai Zehmisch",

note = "Publisher Copyright: {\textcopyright} 2023 World Scientific Publishing Company.",

year = "2023",

month = sep,

day = "1",

doi = "10.1142/S1793525321500424",

language = "English",

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T1 - Diffeomorphism type of symplectic fillings of unit cotangent bundles

AU - Geiges, Hansjörg

AU - Kwon, Myeonggi

AU - Zehmisch, Kai

PY - 2023/9/1

Y1 - 2023/9/1

N2 - We prove uniqueness, up to diffeomorphism, of symplectically aspherical fillings of certain unit cotangent bundles, including those of higher-dimensional tori.

AB - We prove uniqueness, up to diffeomorphism, of symplectically aspherical fillings of certain unit cotangent bundles, including those of higher-dimensional tori.

KW - Contact manifold

KW - moduli space of holomorphic curves

KW - symplectic filling

KW - unit cotangent bundle

UR - https://www.scopus.com/pages/publications/85109754640

U2 - 10.1142/S1793525321500424

DO - 10.1142/S1793525321500424

M3 - Journal article

AN - SCOPUS:85109754640

SN - 1793-5253

VL - 15

SP - 683

EP - 705

JO - Journal of Topology and Analysis

JF - Journal of Topology and Analysis

IS - 3

ER -

Diffeomorphism type of symplectic fillings of unit cotangent bundles

Abstract

Keywords

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