Document Type

Article

Publication Date

7-23-2019

Published In

Symmetry

Abstract

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 ≤ b₃ (Lf) ≤ 20 .

Keywords

Sasaki-Einstein, Kähler 2, orbifolds, links

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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This work is freely available under a Creative Commons license.

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