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

Gompf connected sum for orbifolds and K-contact Smale–Barden manifolds AbstractWe develop the Gompf fiber connected sum operation for symplectic orbifolds. We use itto construct a symplectic 4-orbifold with b1=0{b_{1}=0} and containing symplectic surfacesof genus 1 and 2 that are disjoint and span the rational homology. This is usedin turn to construct a K-contact Smale–Barden manifold with specified 2-homology thatsatisfies the known topological constraints with sharper estimates than the examplesconstructed previously. The manifold can be chosen spin or non-spin. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

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

Forum Mathematicum , Volume 34 (1): 27 – Jan 1, 2022

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Publisher
de Gruyter
Copyright
© 2021 Walter de Gruyter GmbH, Berlin/Boston
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/forum-2020-0131
Publisher site
See Article on Publisher Site

Abstract

AbstractWe develop the Gompf fiber connected sum operation for symplectic orbifolds. We use itto construct a symplectic 4-orbifold with b1=0{b_{1}=0} and containing symplectic surfacesof genus 1 and 2 that are disjoint and span the rational homology. This is usedin turn to construct a K-contact Smale–Barden manifold with specified 2-homology thatsatisfies the known topological constraints with sharper estimates than the examplesconstructed previously. The manifold can be chosen spin or non-spin.

Journal

Forum Mathematicumde Gruyter

Published: Jan 1, 2022

Keywords: Symplectic; orbifold; connected sum; K-contact; Seifert circle bundle; 57R18; 53C25; 53D35; 57R17

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