Poster Title
P-25 Classifying Pretzel Links Obtained by Strong Fusion
Department
Mathematics
Abstract
The strong fusion of a mathematical link joins two components of the link via a band and adds an unknotted circle about the band. We present a complete and original classification of those pretzel links which can be obtained by strong fusion. The primary tools we depend on are linking number and a dichromatic resolution of the link in which we conceive of the link as being colored with two colors and resolve crossings in such a way that respects those colors. Solving the classification problem in a number of subcases gives the general result.
Location
Buller Hall 251
Start Date
3-11-2022 1:30 PM
End Date
3-11-2022 3:30 PM
P-25 Classifying Pretzel Links Obtained by Strong Fusion
Buller Hall 251
The strong fusion of a mathematical link joins two components of the link via a band and adds an unknotted circle about the band. We present a complete and original classification of those pretzel links which can be obtained by strong fusion. The primary tools we depend on are linking number and a dichromatic resolution of the link in which we conceive of the link as being colored with two colors and resolve crossings in such a way that respects those colors. Solving the classification problem in a number of subcases gives the general result.
Acknowledgments
Advisor: Anthony Bosman, Mathematics