Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

New Invariants of Spatial Graphs


Speaker: Erica Flapan, Pomona College
Related Webpage:
Location: 2112 MSB
Start time: Tue, Feb 26 2019, 1:30PM

We introduce invariants of graphs embedded in \( S^3 \) which are related to the Wu invariant and the Simon invariant. Then we use our invariants to prove that \( K_7 \), all Möbius ladders with an odd number of rungs, and the Heawood graph are intrinsically chiral in \( S^3 \). We also use our invariants to obtain lower bounds for the minimal crossing number of particular embeddings of graphs in \( S^3 \).