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Rational homology cobordisms of plumbed manifolds and arborescent link concordance

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Speaker: 
Paolo Aceto
Affiliation: 
Alfréd Rényi Institute of Mathematics, Budapest/MPIM
Date: 
Mon, 2018-02-26 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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