Gompf connected sum for orbifolds and K-contact Smale–Barden manifolds-Reference-Cited by-同舟云学术

Gompf connected sum for orbifolds and K-contact Smale–Barden manifolds

Published:2021-12-01 Issue:1 Volume:34 Page:197-223
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Muñoz Vicente¹^ORCID

Affiliation:

1. Departamento de Álgebra, Geometría y Topología , Universidad de Málaga , Campus de Teatinos, s/n, 29071 Málaga , Spain

Abstract

Abstract We develop the Gompf fiber connected sum operation for symplectic orbifolds. We use it to construct a symplectic 4-orbifold with b 1 = 0

{b_{1}=0}

and containing symplectic surfaces of genus 1 and 2 that are disjoint and span the rational homology. This is used in turn to construct a K-contact Smale–Barden manifold with specified 2-homology that satisfies the known topological constraints with sharper estimates than the examples constructed previously. The manifold can be chosen spin or non-spin.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2020-0131/pdf

Reference19 articles.

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