New Sasaki–Einstein 5-manifolds

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

doi:10.1112/jlms.12700

New Sasaki–Einstein 5-manifolds

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	821-842
Number of pages	22
Journal	Journal of the London Mathematical Society
Volume	107
Issue number	3
DOIs	https://doi.org/10.1112/jlms.12700
State	Published - 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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New Sasaki–Einstein 5-manifolds

Abstract

Bibliographical note

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