The Topology of Meromorphic Loop Spaces of Smooth Curves
E. Bouaziz
TL;DR
This paper investigates the topological properties of the space of loops on smooth algebraic curves over the complex numbers, providing insights into their structure and characteristics.
Contribution
It offers a detailed analysis of the topology of meromorphic loop spaces of smooth curves, a topic not extensively explored before.
Findings
Characterization of the topology of meromorphic loop spaces
Identification of key topological invariants
Insights into the structure of algebraic loop spaces
Abstract
We study the topology of the complex points of the algebraic loop space of a smooth curve.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Meromorphic and Entire Functions