Invariants of Plumbed Manifolds

Abstract

We study the minimal q-exponent in the BPS q-series Z of negative definite plumbed 3-manifolds equipped with a spin c-structure. We express of Seifert manifolds in terms of an invariant commonly used in singularity theory. We provide several examples illustrating the interesting behaviour of for non-Seifert manifolds. Finally, we compare invariants with correction terms in Heegaard-Floer homology.

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