If you have any problems related to the accessibility of any content (or if you want to request that a specific publication be accessible), please contact (scholarworks@unr.edu).
A recursive formula for the Khovanov cohomology of a family of 3-stranded pretzel knots
Date
2009Type
ThesisDepartment
Mathematics and Statistics
Degree Level
Master's Degree
Abstract
After reviewing the process of associating graded cohomology groups (Khovanov cohomology) to a knot, we prove two lemmas that reduce the computational complexity of calculating the Khovanov cohomology. We then prove a recursive formula for the class of three-stranded pretzel knots P(-n,-m,m), where n and m are odd. This result shows that the rank of the Khovanov cohomology of P(-n-m,m) is an invariant of n.
Permanent link
http://hdl.handle.net/11714/4077Additional Information
Committee Member | Naik, Swatee; Hoelzer, Guy |
---|---|
Rights | In Copyright(All Rights Reserved) |
Rights Holder | Author(s) |