A family of non-split topologically slice links with arbitrarily large smooth slice genus

New topologically slice knots

In the early 1980’s Mike Freedman showed that all knots with trivial Alexander polynomial are topologically slice (with fundamental group Z). This paper contains the first new examples of topologically slice knots. In fact, we give a sufficient homological condition under which a knot is slice with fundamental group Z ⋉ Z[1/2]. These two fundamental groups are known to be the only solvable ribb...

Khovanov Homology and the Slice Genus

We use Lee’s work on the Khovanov homology to define a knot invariant s. We show that s(K) is a concordance invariant and that it provides a lower bound for the slice genus of K. As a corollary, we give a purely combinatorial proof of the Milnor conjecture.

Use of Ansoft to Model a Slice Magnetic Bearing

Maxwell 3D of Ansoft software were used for this study. Ansoft’s solutions are based on a more general program using Maxwell’s equations. A simple analysis has been done for calculating the magnetic force interacted between two magnets of similar poles facing each other. The modeling in Anosoft has been described.

Digging deeper with CT imaging: slice-by-micro slice...

A slice of peace.

In 2009 I visited a number of pediatric emergency departments in Tel Aviv and Jerusalem to see whether there were opportunities for me to contribute as a physician. I was particularly taken with Professor Eitan Kerem, chairman of the Department of Pediatrics at Hadassah–Mount Scopus in Jerusalem. Professor Kerem described the history of Hadassah Hospital, the diversity of patients and disease, ...