Speaker
Ayushi Trivedi
(Indian Institute of Technology Delhi)
Description
The Hopf map is a continuous map from the $3$-sphere to the $2$-sphere, exhibiting a many-to-one relationship, where each unique point on the $2$-sphere originates from a distinct great circle on the $3$-sphere. This mapping is instrumental in generating the third homotopy group of the $2$-sphere. In this talk, I will present a minimal pseudo-triangulation of the Hopf map and establish its uniqueness. Additionally, I will show that the pseudo-triangulation corresponding to the $3$-sphere is susceptible to a $4$-coloring.
Primary author
Ayushi Trivedi
(Indian Institute of Technology Delhi)
