Cohomology of multipoint connections on complex curves
Functional Analysis
2026-03-26 v8
Abstract
Assuming complex functions defined on complex curves satisfy recursion relations with respect to number of parameters, we express the corresponding cohomology theory via generalizations of holomorphic connections. In examples provided, the cohomology is explicitly found in terms of higher genus counterparts of elliptic functions as analytic continuations of solutions for functional equations.
Keywords
Cite
@article{arxiv.2106.07747,
title = {Cohomology of multipoint connections on complex curves},
author = {A. Zuevsky},
journal= {arXiv preprint arXiv:2106.07747},
year = {2026}
}