Tropical coamoeba and torus-equivariant homological mirror symmetry for the projective space - Mathematics > Symplectic GeometryReport as inadecuate




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Abstract: We introduce the notion of a tropical coamoeba which gives a combinatorialdescription of the Fukaya category of the mirror of a toric Fano stack. We showthat the polyhedral decomposition of a real n-torus into n + 1 permutohedragives a tropical coamoeba for the mirror of the projective space, and prove atorus-equivariant version of homological mirror symmetry for the projectivespace. As a corollary, we obtain homological mirror symmetry for toricorbifolds of the projective space.



Author: Masahiro Futaki, Kazushi Ueda

Source: https://arxiv.org/



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