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Iterated $S^3$ Sasaki Joins and Bott Orbifolds
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title
Iterated $S^3$ Sasaki Joins and Bott Orbifolds
Creator
Boyer, Charles
Tønnesen-Friedman, Christina
source
ArXiv
abstract
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 construction of (infinitely many) smooth SE structures up through dimension eleven, and conjecture the existence of smooth SE structures in all odd dimensions.
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2020-06-11
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2daf8bbd1f1dceabb64f42050e06a09d9564be6e
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Iterated $S^3$ Sasaki Joins and Bott Orbifolds
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named entity 'orbifolds'
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