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- W2945198784 abstract "Let M be a compact oriented even-dimensional manifold. This note constructs a compact symplectic manifold S of the same dimension and a map f from S to M of strictly positive degree. The construction relies on two deep results: the first is a theorem of Ontaneda that gives a Riemannian manifold N of tightly pinched negative curvature which admits a map to M of degree equal to one; the second is a result of Donaldson on the existence of symplectic divisors. Given Ontaneda's negatively curved manifold N, the twistor space Z is symplectic. The manifold S is then a suitable multisection of the twistor space, found via Donaldson's theorem." @default.
- W2945198784 created "2019-05-29" @default.
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- W2945198784 date "2020-08-06" @default.
- W2945198784 modified "2023-09-26" @default.
- W2945198784 title "Symplectic domination" @default.
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- W2945198784 doi "https://doi.org/10.1112/blms.12402" @default.
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