Speaker
Michael Hutchings, University of California, Berkeley
Abstract
Given two symplectic four-manifolds with knots on their boundaries, we define an “anchored symplectic embedding” to be a symplectic embedding together with a two-dimensional cobordism between the knots (in the four-dimensional cobordism determined by the embedding). We determine quantitative criteria for the existence of anchored symplectic embeddings for many examples of toric domains. In particular, we find examples where a symplectic embedding exists, but an anchored symplectic embedding exists only after rescaling. Joint work with Agniva Roy, Morgan Weiler, and Yuan Yao.