Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions

River Chiang; Liat Kessler

doi:10.1142/S1793525319500742

Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions

River Chiang, Liat Kessler

Department of Mathematics, Physics and Computer Science (Oranim Campus)

Research output: Contribution to journal › Article › peer-review

Abstract

We give examples of symplectic actions of a cyclic group, inducing a trivial action on homology, on four-manifolds that admit Hamiltonian circle actions, and show that they do not extend to Hamiltonian circle actions. Our work applies holomorphic methods to extend combinatorial tools developed for circle actions to study cyclic actions.

Original language	English
Pages (from-to)	1047-1071
Number of pages	25
Journal	Journal of Topology and Analysis
Volume	12
Issue number	4
DOIs	https://doi.org/10.1142/S1793525319500742
State	Published - 1 Dec 2020

Bibliographical note

Publisher Copyright:
© 2020 World Scientific Publishing Company.

Keywords

4-manifold
Hamiltonian circle action
Symplectic cyclic action

ASJC Scopus subject areas

Analysis
Geometry and Topology

Access to Document

10.1142/S1793525319500742

Cite this

@article{0cae7b63d92f4c039f1781cafc04f5c3,

title = "Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions",

abstract = "We give examples of symplectic actions of a cyclic group, inducing a trivial action on homology, on four-manifolds that admit Hamiltonian circle actions, and show that they do not extend to Hamiltonian circle actions. Our work applies holomorphic methods to extend combinatorial tools developed for circle actions to study cyclic actions.",

keywords = "4-manifold, Hamiltonian circle action, Symplectic cyclic action",

author = "River Chiang and Liat Kessler",

note = "Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",

year = "2020",

month = dec,

day = "1",

doi = "10.1142/S1793525319500742",

language = "English",

volume = "12",

pages = "1047--1071",

journal = "Journal of Topology and Analysis",

issn = "1793-5253",

publisher = "World Scientific",

number = "4",

}

TY - JOUR

T1 - Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions

AU - Chiang, River

AU - Kessler, Liat

PY - 2020/12/1

Y1 - 2020/12/1

N2 - We give examples of symplectic actions of a cyclic group, inducing a trivial action on homology, on four-manifolds that admit Hamiltonian circle actions, and show that they do not extend to Hamiltonian circle actions. Our work applies holomorphic methods to extend combinatorial tools developed for circle actions to study cyclic actions.

AB - We give examples of symplectic actions of a cyclic group, inducing a trivial action on homology, on four-manifolds that admit Hamiltonian circle actions, and show that they do not extend to Hamiltonian circle actions. Our work applies holomorphic methods to extend combinatorial tools developed for circle actions to study cyclic actions.

KW - 4-manifold

KW - Hamiltonian circle action

KW - Symplectic cyclic action

UR - http://www.scopus.com/inward/record.url?scp=85059592468&partnerID=8YFLogxK

U2 - 10.1142/S1793525319500742

DO - 10.1142/S1793525319500742

M3 - Article

AN - SCOPUS:85059592468

SN - 1793-5253

VL - 12

SP - 1047

EP - 1071

JO - Journal of Topology and Analysis

JF - Journal of Topology and Analysis

IS - 4

ER -

Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this