Classification of Surfaces with Fundamental Groups

Authors

Presenter(s)

Jacob D. Biesecker-Mast, Jasmine George, Michael Thomas Siegrist, MaryRose Schertler

Comments

Presentation: 10:45-12:00, Kennedy Union Ballroom

Files

Description

Polygons can transformed into surfaces via projective maps that work akin to gluing. If each vertex of a polygon is mapped to a single point, there is a classification theorem that assigns a fundamental group to the corresponding surface. This project will explore this classification theorem on generators of squares, and specifically how the fundamental group operates on the torus.

Publication Date

4-17-2024

Project Designation

Course Project - MTH 471 01

Primary Advisor

Jun Li

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium, College of Arts and Sciences

Recommended Citation

"Classification of Surfaces with Fundamental Groups" (2024). Stander Symposium Projects. 3540.
https://ecommons.udayton.edu/stander_posters/3540