Symplectic fillings of links of quotient surface singularities
type: Item
instance of: scholarly article
zbMATH Open document ID: 1258.53088
author: Mohan Bhupal
author: Kaoru Ono
publication date: 2012-09-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/0808.3794
full work available at URL: https://projecteuclid.org/euclid.nmj/1343309817
Mathematics Subject Classification ID: 53D35
Mathematics Subject Classification ID: 57R17
Mathematics Subject Classification ID: 32S25
Mathematics Subject Classification ID: 53D10
zbMATH DE Number: 6081392
zbMATH Keywords: symplectic deformation
zbMATH Keywords: symplectic filling
zbMATH Keywords: simple singularities
zbMATH Keywords: contact manifold
zbMATH Keywords: holomorphic curve
MaRDI profile type: Publication
arXiv ID: 0808.3794
arXiv classification: math.SG
arXiv classification: math.DG
cites work: On symplectic fillings of links of rational surface singularities with reduced fundamental cycle
cites work: Rationale Singularitäten komplexer Flächen
cites work: Three-dimensional contact structures and bifurcations of foliations of surfaces
cites work: Q3357032
cites work: Blowing up symplectic orbifolds
cites work: Pseudo holomorphic curves in symplectic manifolds
cites work: On the classification of tight contact structures. I
cites work: The monopole equations and \(J\)-holomorphic curves on weakly convex almost Kähler 4-manifolds
cites work: The classification of ruled symplectic 4-manifolds
cites work: Symplectic fillings and positive scalar curvature
cites work: On lens spaces and their symplectic fillings
cites work: On symplectic fillings of lens spaces
cites work: Some new applications of general wall crossing formula, Gompf's conjecture and its applications
cites work: Symplectic gluing along hypersurfaces and resolution of isolated orbifold singularities
cites work: The Structure of Rational and Ruled Symplectic 4-Manifolds
cites work: Symplectic manifolds with contact type boundaries
cites work: Notes on symplectic 4-manifolds with \(b_ 2^ + = 1\). II
cites work: Simple singularities and topology of symplectically filling 4-manifold
cites work: Symplectic fillings of the link of simple elliptic singularities
cites work: Simple singularities and symplectic fillings
cites work: Q5708405
cites work: Die Invarianten der endlichen Untergruppen von GL(2,C)
cites work: A new relation among Cartan matrix and Coxeter matrix
cites work: Seiberg Witten and Gromov invariants for symplectic \(4\)-manifolds
title: Symplectic fillings of links of quotient surface singularities
published in: Nagoya Mathematical Journal
review text: Symplectic deformation types of minimal symplectic fillings of links of quotient surface singularities are studied. The main result is the following:NEWLINENEWLINE Theorem. A symplectic filling of the link of a quotient surface singularity is symplectic-deformation equivalent to the complement of a certain divisor in an iterated blowup of \(\mathbb{C}P^2\) or \(\mathbb{C}P^1\times \mathbb{C}P^1\).NEWLINENEWLINE A detailed description of the symplectic fillings is also given. In particular, the finiteness of symplectic deformation types of minimal symplectic fillings for each quotient surface singularity is proved.
reviewed by: Mihail B. Banaru
description: scientific article; zbMATH DE number 6081392