Abstract:

The theory of stable quasimaps is an important tool in enumerative geometry, providing an alternative system of curve counts to the usual Gromov-Witten invariants. In joint work with Luca Battistella, we define moduli spaces of relative stable quasimaps to a pair , where is a hyperplane section in . Intuitively, these spaces parametrise quasimaps to with specified orders of tangency to . We apply this construction to obtain a Lefschetz-type formula, expressing certain quasimap invariants of in terms of invariants of .