Work

Real-normalized differentials and the elliptic Calogero-Moser system

Year: 2011

Type: preprint

Abstract: In our recent works we have used meromorphic differentials on Riemann surfaces all of whose periods are real to study the geometry of the moduli spaces of Riemann surfaces. In this paper we survey the relevant constructions and show how they are related to and motivated by the spectral theory of the elliptic Calogero-Moser integrable system.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1108.4211

Authors: Grushevsky, Samuel, Krichever, Igor

Institutions: Stony Brook University, Columbia University, National Research University Higher School of Economics, Landau Institute for Theoretical Physics, Institute for Information Transmission Problems

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

OpenAlex ID: W4300906242

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