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- W3039546688 abstract "We use tools from generalized complex geometry to develop the theory of SKT (a.k.a. pluriclosed Hermitian) manifolds and more generally manifolds with special holonomy with respect to a metric connection with closed skew-symmetric torsion. We develop Hodge theory on such manifolds showing how the reduction of the holonomy group causes a decomposition of the twisted cohomology. For SKT manifolds this decomposition is accompanied by an identity between different Laplacian operators and equates different cohomologies defined in terms of the SKT structure. We illustrate our theory with examples based on Calabi–Eckmann manifolds, instantons, Hopf surfaces and Lie groups." @default.
- W3039546688 created "2020-07-10" @default.
- W3039546688 creator A5058881900 @default.
- W3039546688 date "2020-11-01" @default.
- W3039546688 modified "2023-10-18" @default.
- W3039546688 title "Hodge theory of SKT manifolds" @default.
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- W3039546688 doi "https://doi.org/10.1016/j.aim.2020.107270" @default.
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