Miriam Kuzbary - 0-Surgeries on Links - IPAM at UCLA @IPAMUCLA

Uploaded August 2026 | Updated September 2026, 3 weeks ago

Recorded 27 August 2026. Miriam Kuzbary of Amherst College presents "0-Surgeries on Links" at IPAM's Research Collaboration Workshop in Contact and Symplectic Geometry/Topology.
Abstract: In joint work with Ryan Stees, we show that every closed, oriented 3-manifold can be obtained by 0-surgery on a link. Since the 0-surgery of a link can capture the data of many of the typical isotopy and concordance invariants of a link, particularly in the pairwise linking number 0 case, this result gives us a nice lens through which to study both 3-manifolds and links. However, 0-surgery on a link is certainly not a complete link invariant, and we also give multiple constructions for non-isotopic (and even non-concordant) links with homeomorphic 0-surgeries. We further address a recently popular proposed strategy for constructing exotic 4-manifolds by finding a pair of knots (or links with the same number of components) which share 0-surgeries such that exactly one of the pair is slice.
Learn more online at: https://www.ipam.ucla.edu/programs/special-events-and-conferences/research-collaboration-workshop-in-contact-and-symplectic-geometry-topology/?tab=overview

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