Geometric automorphism groups of symplectic 4-manifolds

Bo Dai; Chung I. Ho; Tian Jun Li

doi:10.1016/j.topol.2013.11.003

Geometric automorphism groups of symplectic 4-manifolds

Bo Dai, Chung I. Ho, Tian Jun Li

School of Mathematics

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

Abstract

Let M be a closed, oriented, smooth 4-manifold with intersection form Γ, A(Γ) the automorphism group of Γ and D(M) the subgroup induced by orientation-preserving diffeomorphisms of M. In this note we study the question when D(M) is of infinite index in A(Γ) for a symplectic 4-manifold.

Original language	English (US)
Pages (from-to)	1-11
Number of pages	11
Journal	Topology and its Applications
Volume	162
Issue number	1
DOIs	https://doi.org/10.1016/j.topol.2013.11.003
State	Published - Feb 1 2014

Bibliographical note

Funding Information:
The authors appreciate useful discussions with Scot Adams. The research for the first named author is partially supported by NSFC Grant 10990013 and 11371211 . The research for the second named author is partially supported by NCTS and NSC postdoctoral fellowship. The research for the third named author is partially supported by NSF .

Keywords

Automorphism groups
Symplectic manifolds

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10.1016/j.topol.2013.11.003

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title = "Geometric automorphism groups of symplectic 4-manifolds",

abstract = "Let M be a closed, oriented, smooth 4-manifold with intersection form Γ, A(Γ) the automorphism group of Γ and D(M) the subgroup induced by orientation-preserving diffeomorphisms of M. In this note we study the question when D(M) is of infinite index in A(Γ) for a symplectic 4-manifold.",

keywords = "Automorphism groups, Symplectic manifolds",

author = "Bo Dai and Ho, {Chung I.} and Li, {Tian Jun}",

note = "Funding Information: The authors appreciate useful discussions with Scot Adams. The research for the first named author is partially supported by NSFC Grant 10990013 and 11371211 . The research for the second named author is partially supported by NCTS and NSC postdoctoral fellowship. The research for the third named author is partially supported by NSF . ",

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AU - Ho, Chung I.

AU - Li, Tian Jun

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PY - 2014/2/1

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N2 - Let M be a closed, oriented, smooth 4-manifold with intersection form Γ, A(Γ) the automorphism group of Γ and D(M) the subgroup induced by orientation-preserving diffeomorphisms of M. In this note we study the question when D(M) is of infinite index in A(Γ) for a symplectic 4-manifold.

AB - Let M be a closed, oriented, smooth 4-manifold with intersection form Γ, A(Γ) the automorphism group of Γ and D(M) the subgroup induced by orientation-preserving diffeomorphisms of M. In this note we study the question when D(M) is of infinite index in A(Γ) for a symplectic 4-manifold.

KW - Automorphism groups

KW - Symplectic manifolds

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JO - Topology and its Applications

JF - Topology and its Applications

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ER -

Geometric automorphism groups of symplectic 4-manifolds

Abstract

Bibliographical note

Keywords

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