The multi-moment map of the nearly K\"ahler $S^3 \times S^3$

Kael Dixon

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arXiv · 1702.05297

The multi-moment map of the nearly K\"ahler $S^3 \times S^3$

Kael Dixon

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Abstract

We describe the multi-moment map associated to an almost Hermitian manifold which admits an action of a torus by holomorphic isometries. We investigate in particular the case of a $\mathbb T^3$ action on the homogeneous nearly K\"ahler $ S^3\times S^3$. We find that the multi-moment map in this case acts more-or-less similarly to the moment map of a toric manifold, while the more general case does not.

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Kael Dixon. 2017-02-17. The multi-moment map of the nearly K\"ahler $S^3 \times S^3$. https://arxiv.org/abs/1702.05297

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