TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.3.093
TI  - Higher-genus Fay-like identities from meromorphic generating functions
PY  - 2025/03/14
UR  - https://scipost.org/SciPostPhys.18.3.093
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 3
SP  - 093
A1  - Baune, Konstantin
AU  - Broedel, Johannes
AU  - Im, Egor
AU  - Lisitsyn, Artyom
AU  - Moeckli, Yannis
AB  - A possible way of constructing polylogarithms on Riemann surfaces of higher genera facilitates integration kernels, which can be derived from generating functions incorporating the geometry of the surface. Functional relations among polylogarithms rely on identities for those integration kernels. In this article, we derive identities for Enriquez' meromorphic generating function and investigate the implications for the associated integration kernels. The resulting identities are shown to be exhaustive and therefore reproduce all identities for Enriquez' kernels conjectured in arXiv:2407.11476 recently.
ER  -

@Article{10.21468/SciPostPhys.18.3.093,
	title={{Higher-genus Fay-like identities from meromorphic generating functions}},
	author={Konstantin Baune and Johannes Broedel and Egor Im and Artyom Lisitsyn and Yannis Moeckli},
	journal={SciPost Phys.},
	volume={18},
	pages={093},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.3.093},
	url={https://scipost.org/10.21468/SciPostPhys.18.3.093},
}