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Explore q-series invariants of plumbed 3-manifolds in this 49-minute lecture by Josef Svoboda from the University of Miami. Discover two key results: a linear combination of invariants that remains consistent for manifolds with identical universal abelian covers, and a formula expressing invariants as a rational function for Seifert manifolds. Learn about the Gukov-Putrov-Pei-Vafa defined invariants and their applications. Gain insights into the relationship between q-series invariants and abelian covers, and understand the implications of the derived formula, including vanishing results for certain invariants.
