AbstractGenerating series of enumerative invariants are often suprisingly connected to period integrals. In this lecture I will explain two ways of establishing relations between Gromov-Witten invariants of elliptic curves and configuration space integrals. One is representation-theoretic based on works of Bloch-Okounkov and Okoukov-Pandharipande, the other is geometric via mirror symmetry. I w...
AbstractMeromorphic 1-forms on the Riemann sphere with prescribed orders of singularities form strata endowed with period coordinates. Fixing residues at the poles defined a fibration of any stratum to the vector space of configurations of residues. For strata of 1-forms with only one zero, the isoresidual fibration is a cover of the space of configurations of residues ramified over an arrangem...