IRT Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- IRT
- Location
- Altgeld 347
- Date
- Sep 17, 2024 4:00 pm
- Speaker
- Wonwoo Kang
- wonwook2@illinois.edu
- Views
- 27
- Originating Calendar
- Integrability & Representation Theory (IRT) Seminar
We investigate skein relations in cluster algebras arising from punctured surfaces, building on the work of Çanakcı-Schiffler and Musiker-Williams for unpunctured surfaces. Using the combinatorial expansion formulas by Oğuz-Yıldırım and Pilaud-Reading-Schroll, we derive explicit expressions for these relations. Our approach provides a detailed account of the y-monomials involved and shows that one term consistently has a coefficient of 1. This work demonstrates that the punctured analogues of the bangle and bracelet bases form a spanning set for the cluster algebra associated with punctured surfaces.