New Sasaki–Einstein 5‐manifolds
SCIE
SCOPUS
- Title
- New Sasaki–Einstein 5‐manifolds
- Authors
- Jeong, Dasol; Kim, In‐Kyun; Park, Jihun; Won, Joonyeong
- Date Issued
- 2023-03
- Publisher
- Oxford University Press
- Abstract
- By estimating the delta$\delta$-invariants of certain log del Pezzo surfaces, we prove that closed simply connected 5-manifolds 2(S2xS3)#nM2$2(S<^>2\times S<^>3)\# nM_2$ allow Sasaki-Einstein structures, where M2$M_2$ is the closed simply connected 5-manifold with H2(M2,Z)=Z/2Z circle plus Z/2Z$\mathrm{H}_2(M_2,\mathbb {Z})=\mathbb {Z}/2\mathbb {Z}\oplus \mathbb {Z}/2\mathbb {Z}$, nM2$nM_2$ is the n$n$-fold connected sum of M2$M_2$, and 2(S2xS3)$2(S<^>2\times S<^>3)$ is the twofold connected sum of S2xS3$S<^>2\times S<^>3$.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/117719
- DOI
- 10.1112/jlms.12700
- ISSN
- 0024-6107
- Article Type
- Article
- Citation
- Journal of the London Mathematical Society, vol. 107, no. 3, page. 821 - 842, 2023-03
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