Now showing items 1-3 of 3

• #### A slicing obstruction from the $\frac {10}{8}$ theorem ﻿

(Proceedings of the American Mathematical Society, 2016-08-29)
© 2016 American Mathematical Society. From Furuta’s 10/8 theorem, we derive a smooth slicing obstruction for knots in S3 using a spin 4-manifold whose boundary is 0-surgery 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, 2015-04)
© 2015 Elsevier B.V. In this paper we find a family of knots with trivial Alexander polynomial, and construct two non-isotopic 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 ...