Geometry and Topology Seminar

Series: Geometry and Topology Seminar Series

Series Invariants for Plumbed 3-Manifolds

Nicola Tarasca, Associate Professor, Department of Mathematics and Applied Mathematics, Virginia Commonwealth University,

I will present a new series invariant for plumbed 3-manifolds recovering recent results of Gukov-Pei-Putrov-Vafa, Gukov-Manolescu, Park, and Ri. The series incorporates a root lattice as an input and applies more generally to 3-manifolds which are not necessarily negative definite. We show that our series are unique in an appropriate sense and verify certain gluing and splitting properties related to the corresponding operations on 3-manifolds. This is joint work with Allison Moore.

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For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit https://caltech.zoom.us/j/89155661233.

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