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arxiv: 1903.01260 · v1 · pith:RDMQXVWVnew · submitted 2019-03-04 · 🧮 math.GT

Embedding lens spaces in definite 4-manifolds

classification 🧮 math.GT
keywords complexcopiesembeddinglensplaneprojectiveeveryspace
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Every lens space has a locally flat embedding in a connected sum of 8 copies of the complex projective plane and a smooth embedding in n copies of the complex projective plane for some positive integer n. We show that there is no n such that every lens space smoothly embeds in n copies of the complex projective plane.

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