Seidel elements and mirror transformations
Eduardo Gonzalez, Hiroshi Iritani
TL;DR
This paper establishes a precise relationship between Seidel elements and mirror transformations in the context of smooth projective toric varieties with nef anticanonical bundle, showing Seidel elements determine mirror coordinates.
Contribution
It demonstrates that Seidel elements completely determine the mirror transformation and coordinates for certain toric varieties, clarifying their interplay in mirror symmetry.
Findings
Seidel elements determine mirror transformations.
Mirror coordinates are explicitly characterized by Seidel elements.
The results apply to smooth projective toric varieties with nef -K_X.
Abstract
The goal of this article is to give a precise relation between the mirror symmetry transformation of Givental and the Seidel elements for a smooth projective toric variety with nef. We show that the Seidel elements entirely determine the mirror transformation and mirror coordinates.
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