Poincaré embedding of the diagonal

Byun, Yanghyun

doi:10.1090/S0002-9947-98-02274-0

Poincaré embedding of the diagonal
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Trans. Amer. Math. Soc. 350 (1998), 3537-3553 Request permission

Abstract:

There is a Poincaré embedding structure on the diagonal $X\rightarrow X\times X$ under the conditions: i) $X$ is formed by gluing two compact smooth manifolds along their boundaries using a homotopy equivalence and ii) a square-root closed condition is satisfied by the fundamental groupoid of the boundary.

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