Browsing by Subject "Mathematics, Applied"
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 ... 
Data clustering based on Langevin annealing with a selfconsistent potential
(Quarterly of Applied Mathematics, 20181011) 
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 ...