Némethi's lattice homology conjecture

Let GG be a negative definite plumbing tree, let YGY_G be its corresponding 3-manifold, and let HF(G)\mathbb{HF}^-(G) denote the lattice homology associated to GG. Némethi's conjecture.

HF(G)HF(YG).\mathbb{HF}^-(G)\cong HF^-(Y_G).

The conjecture predicts that lattice homology computes Heegaard Floer homology for negative definite plumbed 3-manifolds; the source gives no resolution status.

Sources & referencesView supporting material

Primary source

Andras Juhasz, “A survey of Heegaard Floer homology”, arXiv:1310.3418 (2014).

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