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Enhancements of the quandle coloring invariant for knots (Karina Cho, Harvey Mudd College)

April 18 @ 12:00 pm - 1:30 pm

Quandles are algebraic structures that play nicely with knots. The multiplicative structure of finite quandles gives us a way to “color” knot diagrams, and the number of such colorings for a given knot and quandle is called the quandle coloring invariant. We strengthen this invariant by examining the relationships between the colorings, which are given by endomorphisms. This can be visualized using a directed graph that we call the quandle coloring quiver. We will show that the quandle coloring quiver is a strict enhancement of the quandle coloring invariant and discuss further enhancements of this invariant that arise from quandle cohomology. This work is a senior thesis project under the advising of Sam Nelson.

Details

Date:
April 18
Time:
12:00 pm - 1:30 pm
Event Category:

Organizer

Sam Nelson
Email:
snelson@cmc.edu

Other

Speaker Name
Karina Cho

Venue

Roberts North 104, CMC
320 E. 9th St.
Claremont, CA 91711 United States
+ Google Map

Details

Date:
April 18
Time:
12:00 pm - 1:30 pm
Event Category:

Organizer

Sam Nelson
Email:
snelson@cmc.edu

Other

Speaker Name
Karina Cho

Venue

Roberts North 104, CMC
320 E. 9th St.
Claremont, CA 91711 United States
+ Google Map