Jul 18 – 23, 2022
University of Vienna
Europe/Vienna timezone

Gopakumar-Vafa invariants and Simple Flops of all Lengths

Not scheduled
Audimax (University of Vienna)


University of Vienna

Universitätsring 1, 1010 Vienna, Austria


Andrea Sangiovanni (University of Trieste)


The problem of explicitly computing Gopakumar-Vafa (GV) invariants of Calabi-Yau threefolds is, in most cases, challenging.
We propose a novel way to fully characterize the GV invariants of singular Calabi-Yau threefolds arising from deformations of ADE singularities, employing a completely linear-algebraic method that computes zero-modes of an adjoint Higgs scalar, associated to the singularity.
Building on this result, we are able to analyze the GV invariants of simple flops of all lengths, namely singular deformed ADE singularities admitting only one exceptional complex curve, furnishing concrete examples and cross-checking with the existing mathematical literature. This also permits to inspect the Higgs branches of the rank-0 5d $\mathcal{N}=1$ SCFTs engineered by M-theory on simple flops threefolds.

Primary author

Andrea Sangiovanni (University of Trieste)

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