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arXiv · 1001.4858

Tropical coamoeba and torus-equivariant homological mirror symmetry for the projective space

Masahiro Futaki·Kazushi Ueda
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Abstract

We introduce the notion of a tropical coamoeba which gives a combinatorial description of the Fukaya category of the mirror of a toric Fano stack. We show that the polyhedral decomposition of a real n-torus into (n + 1) permutohedra gives a tropical coamoeba for the mirror of the projective space, and prove a torus-equivariant version of homological mirror symmetry for the projective space. As a corollary, we obtain homological mirror symmetry for toric orbifolds of the projective space.

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Masahiro Futaki, Kazushi Ueda. 2010-01-27. Tropical coamoeba and torus-equivariant homological mirror symmetry for the projective space. https://arxiv.org/abs/1001.4858

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