87 citations · 235 across the 17 of their papers we have counts for
18 papers
A mirror theorem for partial flag bundles
Ionut Ciocan-Fontanine, Yuki Koto
We construct a family of points on the Lagrangian cone of a partial flag bundle associated to a (possibly non-split) vector bundle from any Weyl-invariant -function of a prequot…
Fundamental Factorization of a GLSM, Part I: Construction
Ionut Ciocan-Fontanine, David Favero, Jérémy Guéré +2
We define enumerative invariants associated to a hybrid Gauged Linear Sigma Model. We prove that in the relevant special cases, these invariants recover both the Gromov-Witten type…
Quasimap Wall-crossings and Mirror Symmetry
Ionut Ciocan-Fontanine, Bumsig Kim
We state a wall-crossing formula for the virtual classes of epsilon-stable quasimaps to GIT quotients and prove it for complete intersections in projective space, with no positivit…
Orbifold Quasimap Theory
Daewoong Cheong, Ionut Ciocan-Fontanine, Bumsig Kim
We extend to orbifolds the quasimap theory of arXiv:0908.4446 and arXiv:1106.3724, as well as the genus zero wall-crossing results from arXiv:1304.7056 and arXiv:1401.7417. As a co…
Big I-functions
Ionut Ciocan-Fontanine, Bumsig Kim
We introduce a new big I-function for certain GIT quotients W//G using the quasimap graph space from infinitesimally pointed to the stack quotient [W/G]. This big I-…
Higher genus quasimap wall-crossing for semi-positive targets
Ionut Ciocan-Fontanine, Bumsig Kim
In previous work (arXiv:1304.7056) we have conjectured wall-crossing formulas for genus zero quasimap invariants of GIT quotients and proved them via localization in many cases. We…