Recent zbMATH articles in MSC 32S20https://zbmath.org/atom/cc/32S202024-03-13T18:33:02.981707ZWerkzeugIterated \(S^3\) Sasaki joins and Bott orbifoldshttps://zbmath.org/1528.530452024-03-13T18:33:02.981707Z"Boyer, Charles P."https://zbmath.org/authors/?q=ai:boyer.charles-p"Tønnesen-Friedman, Christina W."https://zbmath.org/authors/?q=ai:tonnesen-friedman.christina-wiisSummary: We present a categorical relationship between iterated \(S^3\) Sasaki-joins and Bott orbifolds. Then we show how to construct smooth Sasaki-Einstein (SE) structures on the iterated joins. These become increasingly complicated as dimension grows. We give an explicit nontrivial construction of (infinitely many) smooth SE structures up through dimension eleven, and conjecture the existence of smooth SE structures in all odd dimensions.