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Speaker:

Paolo Aceto
Affiliation:

Alfréd Rényi Institute of Mathematics, Budapest/MPIM
Date:

Mon, 26/02/2018 - 16:30 - 18:00
Location:

MPIM Lecture Hall
Parent event:

MPIM Topology Seminar We investigate rational homology cobordisms of 3-manifolds with non-zero first Betti number.

This is motivated by the natural generalization of the slice-ribbon conjecture to multicomponent links.

We introduce a systematic way of constructing rational homology cobordisms between plumbed 3-manifolds and concordances between arborescent links.

We then describe a sliceness obstruction based on Donaldson's diagonalization theorem that leads to a proof of the slice-ribbon conjecture for 2-component Montesinos' links up to mutation.

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