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arXiv · 1110.1612

Calabi-Yau Three-folds: Poincare Polynomials and Fractals

Anthony Ashmore·Yang-Hui He
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Abstract

We study the Poincare polynomials of all known Calabi-Yau three-folds as constrained polynomials of Littlewood type, thus generalising the well-known investigation into the distribution of the Euler characteristic and Hodge numbers. We find interesting fractal behaviour in the roots of these polynomials in relation to the existence of isometries, distribution versus typicality, and mirror symmetry.

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Anthony Ashmore, Yang-Hui He. 2011-10-07. Calabi-Yau Three-folds: Poincare Polynomials and Fractals. https://doi.org/10.1142/9789814412551_0007

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