New Sasaki-Einstein 5-manifolds

Autor: Jeong, Dasol, Kim, In-Kyun, Park, Jihun, Won, Joonyeong
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: We prove that closed simply connected $5$-manifolds $2(S^2\times S^3)\# nM_2$ allow Sasaki-Einstein structures, where $M_2$ is the closed simply connected $5$-manifold with $\mathrm{H}_2(M_2,\mathbb{Z})=\mathbb{Z}/2\mathbb{Z}\oplus \mathbb{Z}/2\mathbb{Z}$, $nM_2$ is the $n$-fold connected sum of $M_2$, and $2(S^2\times S^3)$ is the two-fold connected sum of $S^2\times S^3$.
Comment: 20 pages
Databáze: arXiv