Quasimaps provide an alternate curve counting system to Gromov-Witten theory, which are related by wall-crossing formulae. Relative (or logarithmic) Gromov-Witten theory has proved useful for constructions in mirror symmetry, as well as for determining ordinary Gromov-Witten invariants via the degeneration formula. Different versions of this theory rely on various technologies, including expansions (or accordions) as well as logarithmic structures. I will discuss how to use a hybrid of these approaches to produce a proper moduli space parametrizing quasimaps relative a smooth divisor in any genus.
This video is part of the 3CinG annual meeting that took place in Warwick in September 2021.
