A metric on the moduli space of bodies
Metric Geometry
2018-08-30 v2 Differential Geometry
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1804.05161,
title = {A metric on the moduli space of bodies},
author = {Hajime Fujita and Kaho Ohashi},
journal= {arXiv preprint arXiv:1804.05161},
year = {2018}
}
Comments
13 pages, 4 figures : Revision of Section 5.3 due to the example given by Y. Kitabeppu