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Algebra and Geometry Seminar

Thursday, February 1, 2024
3:45pm to 5:00pm
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q-Series invariants of plumbed manifolds
Josef Svoboda, Department of Mathematics, Caltech,

USC Kaprelian Hall, room 414

Plumbed manifolds are certain 3-manifolds which describe the topology of singularities of algebraic surfaces. I will present two results about q-series invariants of plumbed 3-manifolds defined by Gukov, Putrov, Pei and Vafa. The first result shows that a certain linear combination of these invariants coincides for two manifolds with the same universal abelian cover. The second result gives a formula for the invariants in terms of a rational function in a single variable, in the special case of Seifert manifolds. Based on joint work with Sergei Gukov and Ludmil Katzarkov.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].