We state a wall-crossing formula for the virtual classes of ε ε-stable quasimaps to GIT quotients and prove it for complete intersections in projective space, with no positivity …
H Lho, R Pandharipande - Advances in Mathematics, 2018 - Elsevier
We study the fundamental relationship between stable quotient invariants and the B-model for local P 2 in all genera. Our main result is a direct geometric proof of the holomorphic …
Y Zhou - Inventiones mathematicae, 2022 - Springer
In this paper, we prove a wall-crossing formula for ϵ ϵ-stable quasimaps to GIT quotients conjectured by Ciocan-Fontanine and Kim, for all targets in all genera, including the orbifold …
B Kim, H Lho - Geometry & Topology, 2018 - msp.org
We propose and prove a mirror theorem for the elliptic quasimap invariants of smooth Calabi– Yau complete intersections in projective spaces. This theorem, combined with the wall …
R Webb - International Mathematics Research Notices, 2023 - academic.oup.com
We prove the abelian–nonabelian correspondence for quasimap-functions. That is, if is an affine lci variety with an action by a complex reductive group, we prove an explicit formula …
T Coates, W Lutz, Q Shafi - Forum of Mathematics, Sigma, 2022 - cambridge.org
We prove the abelian/nonabelian correspondence with bundles for target spaces that are partial flag bundles, combining and generalising results by Ciocan-Fontanine–Kim–Sabbah …
This is the first in a sequence of papers in which we construct a quantum version of the Kirwan map from the equivariant quantum cohomology QH G (X) of a smooth polarized …
This is the third in a sequence of papers in which we construct a quantum version of the Kirwan map from the equivariant quantum cohomology QH G (X) of a smooth polarized …
E Clader, F Janda, Y Ruan - arXiv preprint arXiv:1702.03427, 2017 - arxiv.org
We give a new proof of Ciocan-Fontanine and Kim's wall-crossing formula relating the virtual classes of the moduli spaces of $\epsilon $-stable quasimaps for different $\epsilon $ in any …