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Speaker:

Daniel Galvin
Affiliation:

MPIM
Date:

Tue, 15/10/2024 - 11:45 - 13:00
Location:

MPIM Lecture Hall
Parent event:

Low-dimensional topology seminar A result of Cerf says that, for a compact, smooth 3-manifold Y , the inclusion induced map

Diff(Y) -> Homeo(Y) is a homotopy equivalence. There is an analogous inclusion induced

map for certain 'block' analogues of Diff(Y) and Homeo(Y), which are spaces defined as

realisations of certain simplicial spaces whose 1-simplices are pseudo-isotopies of Y.

Is this also a homotopy equivalence?

map for certain 'block' analogues of Diff(Y) and Homeo(Y), which are spaces defined as

realisations of certain simplicial spaces whose 1-simplices are pseudo-isotopies of Y.

Is this also a homotopy equivalence?

If it is not, what can be said about its connectivity? I will report on recent in-progress work

towardsunderstanding these questions, and their relation to 4-manifolds.

towardsunderstanding these questions, and their relation to 4-manifolds.

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