Iterated \(S^3\) Sasaki joins and Bott orbifolds
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Publication:6173834
DOI10.5802/AFST.1706zbMATH Open1528.53045arXiv2006.06596OpenAlexW3035059855MaRDI QIDQ6173834
Author name not available (Why is that?)
Publication date: 13 July 2023
Published in: (Search for Journal in Brave)
Abstract: We present a categorical relationship between iterated 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 construction of (infinitely many) smooth SE structures up through dimension eleven, and conjecture the existence of smooth SE structures in all odd dimensions.
Full work available at URL: https://arxiv.org/abs/2006.06596
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