GAUSS Seminar

Michele Capovilla-Searle
Dual Garside Structure and Fractional Dehn Twist Coefficient

The dual Garside left canonical form is used to solve the conjugacy problem in braid theory, introduced by Xu (3-braids), Kang-Ko-Lee (4- braids) and Birman-Ko-Lee (n-braids). The fractional Dehn twist coefficient (FDTC) is measurement of boundary twist of a surface homeomorphism, introduced by Honda-Kazez-Matic. In contact geometry, it is a powerful tool to detect tightness/overtwistedness of a given contact structure. In this talk, I will give applications of the left canonical form to the FDTC of braids.

Event Date: 
March 8, 2023 - 4:30pm to 5:20pm
221 MLH
Calendar Category: 
Seminar Category: