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arXiv · 0909.2233

Vanishing theorems for associative submanifolds

Damien Gayet
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Abstract

Let M^7 a manifold with holonomy in G_2, and Y^3 an associative submanifold with boundary in a coassociative submanifold. In [5], the authors proved that M_{X,Y}, the moduli space of its associative deformations with boundary in the fixed X, has finite virtual dimension. Using Bochner's technique, we give a vanishing theorem that forces M_{X,Y} to be locally smooth.

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Damien Gayet. 2009-11-19. Vanishing theorems for associative submanifolds. https://arxiv.org/abs/0909.2233

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