Math @ Duke
|
Publications [#367062] of Biji Wong
Papers Published
- Petkova, I; Wong, B, Twisted Mazur Pattern Satellite Knots & Bordered Floer Theory,
Michigan Mathematical Journal, vol. 73 no. 2
(May, 2023),
pp. 255-304, Michigan Mathematical Journal [doi]
(last updated on 2024/08/15)
Abstract: We use bordered Floer theory to study properties of twisted Mazur pattern satellite knots Qn(K). We prove that Qn(K) is not Floer homologically thin, with two exceptions. We calculate the 3-genus of Qn(K) in terms of the twisting parameter n and the 3-genus of the companion K, and we determine when Qn(K) is fibered. As an application to our results on Floer thickness and 3-genus, we verify the Cosmetic Surgery Conjecture for many of these satellite knots.
|
|
dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
| |
Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
|
|