Abstract. We extend to orbifolds the quasimap theory of [8,12], as well as the genus zero wall-crossing results from [9,11]. As a consequence, we obtain generalizations of orbifold mirror theorems, in particular, of the mirror theorem for toric orbifolds recently proved independently by Coates, Corti, Iritani, and Tseng [13].

No abstract

We extend to orbifolds the quasimap theory of [8,12], as well as the genus zero wall-crossing results from [9,11]. As a consequence, we obtain generalizations of orbifold mirror theorems, in particular, of the mirror theorem for toric orbifolds recently proved independently by Coates, Corti, Iritani, and Tseng [13].

Let C be a complex projective smooth curve and W a symplectic vector bundle of rank 2n over C. The Lagrangian Quot scheme LQ −e (W ) parameterizes subsheaves of rank n and degree −e which are isotropic with respect to the symplectic form. We prove that LQ −e (W ) is irreducible and generically smooth of the expected dimension for all large e, and that a generic element is saturated and stable. The proof relies on the geometry of symplectic extensions.

No abstract