Conjectures on counting associative 3-folds in $G_2$-manifolds
There is a strong analogy between compact, torsion-free G2-manifolds (X, ϕ, ∗ϕ) and Calabi–Yau 3-folds (Y, J, g, ω). We can also generalize (X, ϕ, ∗ϕ) to ‘tamed almost G2-manifolds’ (X, ϕ, ψ), where we compare ϕ with ω and ψ with J. Associative 3-folds in X, a special kind of minimal submanifold, ar...
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American Mathematical Society
2018
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