Browsing by Subject "KNOTS"
Now showing items 13 of 3

A slicing obstruction from the $\frac {10}{8}$ theorem
(Proceedings of the American Mathematical Society, 20160829)© 2016 American Mathematical Society. From Furuta’s 10/8 theorem, we derive a smooth slicing obstruction for knots in S3 using a spin 4manifold whose boundary is 0surgery on a knot. We show that this obstruction is able ... 
Seifert surfaces distinguished by sutured Floer homology but not its Euler characteristic
(Topology and its Applications, 201504)© 2015 Elsevier B.V. In this paper we find a family of knots with trivial Alexander polynomial, and construct two nonisotopic Seifert surfaces for each member in our family. In order to distinguish the surfaces we study ... 
The cardinality of the augmentation category of a Legendrian link
(Mathematical Research Letters, 2017)We introduce a notion of cardinality for the augmentation category associated to a Legendrian knot or link in standard contact R3. This ℓhomotopy cardinality' is an invariant of the category and allows for a weighted count ...