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Flops of any length, Gopakumar-Vafa invariants and 5d Higgs branches

Flops of any length, Gopakumar-Vafa invariants and 5d Higgs branches

A bstract The conifold is a basic example of a noncompact Calabi-Yau threefold that admits a simple flop, and in M-theory, gives rise to a 5d hypermultiplet at low energies, realized by an M2-brane wrapped on the vanishing sphere. We develop a novel gauge-theoretic method to construct new classes of …