Algebra and Geometry Seminar

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.