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math.AT2023★ 1 cited
A Weiss-Williams theorem for spaces of embeddings and the homotopy type of spaces of long knots
Samuel Muñoz-Echániz
We establish a pseudoisotopy result for embedding spaces in the line of that of Weiss and Williams for diffeomorphism groups. In other words, for a codimension at leas…
math.AT2022
Mapping class groups of -cobordant manifolds
Samuel Muñoz-Echániz
We prove that the mapping class group is not an -cobordism invariant of high-dimensional manifolds by exhibiting -cobordant manifolds whose mapping class groups have differen…