New Sasaki–Einstein 5-manifolds

Dasol Jeong, In Kyun Kim, Jihun Park, Joonyeong Won

Research output: Contribution to journalArticlepeer-review


By estimating the (Formula presented.) -invariants of certain log del Pezzo surfaces, we prove that closed simply connected 5-manifolds (Formula presented.) allow Sasaki-Einstein structures, where (Formula presented.) is the closed simply connected 5-manifold with (Formula presented.), (Formula presented.) is the (Formula presented.) -fold connected sum of (Formula presented.), and (Formula presented.) is the twofold connected sum of (Formula presented.).

Original languageEnglish
Pages (from-to)821-842
Number of pages22
JournalJournal of the London Mathematical Society
Issue number3
StatePublished - Mar 2023

Bibliographical note

Funding Information:
D. Jeong and J. Park have been supported by IBS‐R003‐D1, Institute for Basic Science in Korea. I. Kim and J. Won were supported by NRF grant funded by the Korea government(MSIT) (I. Kim: NRF‐2020R1A2C4002510, J. Won: NRF‐2020R1A2C1A01008018).

Publisher Copyright:
© 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.


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