Event Title

P-25 Classifying Pretzel Links Obtained by Strong Fusion

Location

Buller Hall 251

Start Date

3-11-2022 1:30 PM

End Date

3-11-2022 3:30 PM

Department

Mathematics

Description

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

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Mar 11th, 1:30 PM Mar 11th, 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.