Algebraic aspects of holomorphic quantum modular forms
Geometric Topology
2024-07-15 v2 High Energy Physics - Theory
Abstract
Matrix-valued holomorphic quantum modular forms are intricate objects that arise in successive refinements of the Volume Conjecture of knots and involve three holomorphic, asymptotic and arithmetic objects. It is expected that the algebraic properties of these objects can be deduced from the algebraic properties of descendant state integrals, and we illustrate this for the case of the -pretzel knot.
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Cite
@article{arxiv.2403.02880,
title = {Algebraic aspects of holomorphic quantum modular forms},
author = {Ni An and Stavros Garoufalidis and Shana Yunsheng Li},
journal= {arXiv preprint arXiv:2403.02880},
year = {2024}
}
Comments
21 pages, 1 figure