Browsing by Subject "FLOER HOMOLOGY"
Now showing items 13 of 3

(1,1) Lspace knots
(COMPOSITIO MATHEMATICA, 20180501)We characterize the (1, 1) knots in the threesphere and lens spaces that admit nontrivial Lspace surgeries. As a corollary, 1bridge braids in these manifolds admit non trivial Lspace surgeries. We also recover ... 
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 ... 
Berge–Gabai knots and L–space satellite operations
(Algebraic & Geometric Topology, 20150115)© 2014 Mathematical Sciences Publishers. All rights reserved. Let P(K) be a satellite knot where the pattern P is a Berge–Gabai knot (ie a knot in the solid torus with a nontrivial solid torus Dehn surgery) and the companion ...