Photo by lum3n from unsplash
A flat plumbing basket is a Seifert surface consisting of a disk and bands contained in distinct pages of the disk open book decomposition of the 3-sphere. In this paper,… Click to show full abstract
A flat plumbing basket is a Seifert surface consisting of a disk and bands contained in distinct pages of the disk open book decomposition of the 3-sphere. In this paper, we examine close connections between flat plumbing baskets and the contact structure supported by the open book. As an application we give lower bounds for the flat plumbing basket numbers and determine the flat plumbing basket numbers for various knots and links, including the torus links.
Keywords:
contact structure;
plumbing basket;
flat plumbing
Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!