4 citations · 10 across the 5 of their papers we have counts for
5 papers · 1 filter
Twisted Alexander norms give lower bounds on the Thurston norm
Stefan Friedl, Taehee Kim
We introduce twisted Alexander norms of a compact connected orientable 3-manifold with first Betti number bigger than one generalizing norms of McMullen and Turaev. We show that tw…
Thurston norm, fibered manifolds and twisted Alexander polynomials
Stefan Friedl, Taehee Kim
Every element in the first cohomology group of a 3--manifold is dual to embedded surfaces. The Thurston norm measures the minimal `complexity' of such surfaces. For instance the Th…
New obstructions to doubly slicing knots
Taehee Kim
A knot in the 3-sphere is called doubly slice if it is a slice of an unknotted 2-sphere in the 4-sphere. We give a bi-sequence of new obstructions for a knot being doubly slice. We…
Infinite family of non-concordant knots having the same Seifert form
Taehee Kim
By a recent result of Livingston, it is known that if a knot has a prime power branched cyclic cover that is not a homology sphere, then there is an infinite family of non-concorda…
Filtration of the classical knot concordance group and Casson-Gordon invariants
Taehee Kim
It is known that if any prime power branched cyclic cover of a knot in the 3-sphere is a homology sphere, then the knot has vanishing Casson-Gordon invariants. We construct infinit…