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Article

Sasaki-Einstein 7-Manifolds, Orlik Polynomials and Homology

Department of Mathematics and Statistics, Swarthmore College, Swarthmore, PA 19081, USA
Symmetry 2019, 11(7), 947; https://doi.org/10.3390/sym11070947
Received: 4 June 2019 / Revised: 17 July 2019 / Accepted: 18 July 2019 / Published: 23 July 2019
(This article belongs to the Special Issue Geometry of Submanifolds and Homogeneous Spaces)
In this article, we give ten examples of 2-connected seven dimensional Sasaki-Einstein manifolds for which the third homology group is completely determined. Using the Boyer-Galicki construction of links over particular Kähler-Einstein orbifolds, we apply a valid case of Orlik’s conjecture to the links so that one is able to explicitly determine the entire third integral homology group. We give ten such new examples, all of which have the third Betti number satisfy 10 b 3 ( L f ) 20 . View Full-Text
Keywords: Sasaki-Einstein; Kähler 2; orbifolds; links Sasaki-Einstein; Kähler 2; orbifolds; links
MDPI and ACS Style

Gomez, R.R. Sasaki-Einstein 7-Manifolds, Orlik Polynomials and Homology. Symmetry 2019, 11, 947. https://doi.org/10.3390/sym11070947

AMA Style

Gomez RR. Sasaki-Einstein 7-Manifolds, Orlik Polynomials and Homology. Symmetry. 2019; 11(7):947. https://doi.org/10.3390/sym11070947

Chicago/Turabian Style

Gomez, Ralph R. 2019. "Sasaki-Einstein 7-Manifolds, Orlik Polynomials and Homology" Symmetry 11, no. 7: 947. https://doi.org/10.3390/sym11070947

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