1 citations · 1 across the 4 of their papers we have counts for
4 papers
Knots that share four surgeries
Marc Kegel, Lisa Piccirillo
Distinct knots K, K' can sometimes share a common p/q-framed Dehn surgery. A folk conjecture held that for a fixed pair of knots, this can occur for at most one value of p/q. We di…
Distinguishing closed 4-manifolds by slicing
Tye Lidman, Lisa Piccirillo
One approach to produce a pair of homeomorphic-but-not-diffeomophic closed 4-manifolds is to find a knot which is smoothly slice in one but not the other. This approach has never b…
Stably irreducible non-orientable knotted surfaces
Tye Lidman, Lisa Piccirillo
We give an elementary obstruction to reducibility for knotted surfaces in the four-sphere. As a new application, we construct stably irreducible non-orientable surfaces.
New constructions and invariants of closed exotic 4-manifolds
Adam Simon Levine, Tye Lidman, Lisa Piccirillo
In this article, we give new means of constructing and distinguishing closed exotic four-manifolds. Using Heegaard Floer homology, we define new closed four-manifold invariants tha…