Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

A. Altavilla - S. Mongodi

The $*$-exponential as a covering map

created by bazzoni on 07 Feb 2024



Inserted: 7 feb 2024
Last Updated: 7 feb 2024

Year: 2023

ArXiv: 2310.01137 PDF


We employ tools from complex analysis to construct the $*$-logarithm of a quaternionic slice regular function. Our approach enables us to achieve three main objectives: we compute the monodromy associated with the $*$-exponential; we establish sufficient conditions for the $*$-product of two $*$-exponentials to also be a $*$-exponential; we calculate the slice derivative of the $*$-exponential of a regular function.

Tags: PRIN2022-GSFT

Credits | Cookie policy | HTML 5 | CSS 2.1