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arXiv · 0802.3536

Asymptotically Conical Associative 3-folds

Jason D. Lotay
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Abstract

Given an associative 3-fold in R^7 which is asymptotically conical with generic rate less than 1, we show that its moduli space of deformations is locally homeomorphic to the kernel of a smooth map between smooth manifolds. Moreover, the virtual dimension of the moduli space is computed and shown to be non-negative for rates greater than -1, whereas the associative 3-fold is expected to be isolated for rates less than or equal to -1.

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Jason D. Lotay. 2008-02-24. Asymptotically Conical Associative 3-folds. https://doi.org/10.1093/qmath/hap036

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