Decomposing 4-manifolds with positive scalar curvature

Richard H. Bamler; Chao Li; Christos Mantoulidis

doi:10.1016/j.aim.2023.109231

Decomposing 4-manifolds with positive scalar curvature

Richard H. Bamler, Chao Li, Christos Mantoulidis

Mathematics

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

Abstract

We show that every closed, oriented, topologically PSC 4-manifold can be obtained via 0 and 1-surgeries from a topologically PSC 4-orbifold with vanishing first Betti number and second Betti number at most as large as the original one.

Original language	English (US)
Article number	109231
Journal	Advances in Mathematics
Volume	430
DOIs	https://doi.org/10.1016/j.aim.2023.109231
State	Published - Oct 1 2023

Keywords

4-manifolds
Betti numbers
Four-dimensional manifolds
Positive scalar curvature
Surgery

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2023.109231

Cite this

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title = "Decomposing 4-manifolds with positive scalar curvature",

abstract = "We show that every closed, oriented, topologically PSC 4-manifold can be obtained via 0 and 1-surgeries from a topologically PSC 4-orbifold with vanishing first Betti number and second Betti number at most as large as the original one.",

keywords = "4-manifolds, Betti numbers, Four-dimensional manifolds, Positive scalar curvature, Surgery",

author = "Bamler, {Richard H.} and Chao Li and Christos Mantoulidis",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2023",

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doi = "10.1016/j.aim.2023.109231",

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AU - Bamler, Richard H.

AU - Li, Chao

AU - Mantoulidis, Christos

PY - 2023/10/1

Y1 - 2023/10/1

N2 - We show that every closed, oriented, topologically PSC 4-manifold can be obtained via 0 and 1-surgeries from a topologically PSC 4-orbifold with vanishing first Betti number and second Betti number at most as large as the original one.

AB - We show that every closed, oriented, topologically PSC 4-manifold can be obtained via 0 and 1-surgeries from a topologically PSC 4-orbifold with vanishing first Betti number and second Betti number at most as large as the original one.

KW - 4-manifolds

KW - Betti numbers

KW - Four-dimensional manifolds

KW - Positive scalar curvature

KW - Surgery

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DO - 10.1016/j.aim.2023.109231

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VL - 430

JO - Advances in Mathematics

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ER -

Decomposing 4-manifolds with positive scalar curvature

Abstract

Keywords

ASJC Scopus subject areas

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