4 papers
Small symplectic caps and embeddings of homology balls in the complex projective plane
John B. Etnyre, Hyunki Min, Lisa Piccirillo +1
We present a handlebody construction of small symplectic caps, and hence of small closed symplectic 4-manifolds. We use this to construct handlebody descriptions of symplectic embe…
Dehn surgery functions are never injective
Kyle Hayden, Lisa Piccirillo, Laura Wakelin
We prove that, for each fixed rational number , there exists a pair of distinct knots whose -surgeries are orientation-preservingly homeomorphic. This conf…
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.