Rational homology ribbon cobordism is a partial order

Abstract: Last year, Ian Agol proved that ribbon knot concordance is a partial order on knots; this resolves a conjecture that has been open for more than three decades. His proof is beautiful and surprisingly simple. There is an analogous notion of ribbon cobordism for closed 3-manifolds. We use Agol's method to show that this is also a partial order within the class of irreducible 3-manifolds.

This is joint work with Stefan Friedl and Filip Misev.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( paper )

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Geometry and topology online

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