A metric on the moduli space of bodies

Hajime Fujita; Kaho Ohashi

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arXiv · 1804.05161

A metric on the moduli space of bodies

Hajime Fujita·Kaho Ohashi

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Abstract

We construct a metric on the moduli space of bodies in Euclidean space. The moduli space is defined as the quotient space with respect to the action of integral affine transformations. This moduli space contains a subspace, the moduli space of Delzant polytopes, which can be identified with the moduli space of symplectic toric manifolds. We also discuss related problems.

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Hajime Fujita, Kaho Ohashi. 2018-08-29. A metric on the moduli space of bodies. https://arxiv.org/abs/1804.05161

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