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Perverse Curves and Mirror Symmetry

Authors
  • Ruddat, Helge
Type
Preprint
Publication Date
Aug 14, 2014
Submission Date
Sep 06, 2013
Identifiers
arXiv ID: 1309.1803
Source
arXiv
License
Yellow
External links

Abstract

This work establishes a subtle connection between mirror symmetry for Calabi-Yau threefolds and that of curves of higher genus. The linking structure is what we call a perverse curve. We show how to obtain such from Calabi-Yau threefolds in the Batyrev mirror construction and prove that their Hodge diamonds are related by the mirror duality.

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