Hodge Representations of Calabi-Yau 3-fold Type

TL;DR

This thesis applies a classification framework to systematically enumerate Lie algebra Hodge representations associated with Calabi-Yau 3-folds, advancing understanding of their algebraic structures.

Contribution

It introduces a comprehensive enumeration of Hodge representations of CY 3-fold type using the Green-Griffiths-Kerr classification.

Findings

Enumerated Lie algebra Hodge representations for CY 3-folds

Provided a classification-based framework for these representations

Enhanced understanding of algebraic structures related to Calabi-Yau 3-folds

Abstract

In this thesis, I apply the Green-Griffiths-Kerr classification of Hodge representations to enumerate the Lie algebra Hodge representations of CY 3-fold type