Algebraic aspects of holomorphic quantum modular forms

Key Points

Key points are not available for this paper at this time.

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 (-2, 3, 7) -pretzel knot.

Read Full Paperexternally

Mark Helpful

Bookmark

Relay

View Full Paper

Cite This Study

An et al. (Tue,) studied this question.

synapsesocial.com/papers/68e75b28b6db6435876d248e https://doi.org/https://doi.org/10.48550/arxiv.2403.02880

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Algebraic aspects of holomorphic quantum modular forms2024
2Knots, Perturbative Series and Quantum Modularity2024 · 10 citations
3Non-holomorphic modular forms from zeta generators2024
4Holomorphic quasi-modular bootstrap2024
5Algebraicity of weakly holomorphic modular functions at divisors of meromorphic modular forms for certain Fuchsian groups2024

Mark Helpful

Bookmark

Relay

View Full Paper