ON IRREGULAR SASAKI-EINSTEIN METRICS IN DIMENSION 5

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Abstract

We show that there are no irregular Sasaki-Einstein structures
on rational homology 5-spheres. On the other hand, using K-stability we
prove the existence of continuous families of non-toric irregular Sasaki-Einstein
structures on odd connected sums of S2 × S3.

Bibliographical metadata

Original languageEnglish
JournalSbornik: Mathematics
Publication statusAccepted/In press - 18 Dec 2020