17 citations · 45 across the 10 of their papers we have counts for
12 papers
Siebert's formula for virtual pullbacks
Xuanchun Lu, Rachel Webb
For a DM-type morphism of algebraic stacks with a relative perfect obstruction theory having a global resolution, we give a for…
Weyl-invariant subspaces are (usually) not generic
Riku Kurama, Ruoxi Li, Henry Talbott +1
Let be a linear representation of a connected complex reductive group . Given a choice of character of , Geometric Invariant Theory defines a locus $V^{ss}_θ(G) \subs…
Finding the walls for quiver moduli
Hans Franzen, Gianni Petrella, Rachel Webb
We give an effective characterisation of the walls in the variation of geometric invariant theory problem associated to a quiver and a dimension vector.
Crepant Transformation Conjecture For the Grassmannian Flop
Wendelin Lutz, Qaasim Shafi, Rachel Webb
We prove an explicit form of the Crepant Transformation Conjecture for Grassmannian flops. Our approach uses abelianization to first relate the restrictions of the Lagrangian cones…
Subtleties of Quantum Lefshetz without Convexity
Nawaz Sultani, Rachel Webb
Let be a complete intersection in a GIT quotient cut out by a -representation . We show that the -twisted quasima…
Some Applications of Abelianization in Gromov-Witten Theory
Nawaz Sultani, Rachel Webb
Let be a complex reductive group and let and be two linear representations of . Let be a complete intersection in equal to the zero locus of a -equivarian…
Abelianization and Quantum Lefschetz for Orbifold Quasimap -Functions
Rachel Webb
Let be a complete intersection in an affine variety , with action by a complex reductive group . Let be a maximal torus. A character of defines GIT…
The Moduli of Sections Has a Canonical Obstruction Theory
Rachel Webb
We give a detailed proof that locally Noetherian moduli stacks of sections carry canonical obstruction theories. As part of the argument we construct a dualizing sheaf and trace ma…
Virtual cycles of stable (quasi)-maps with fields
Qile Chen, Felix Janda, Rachel Webb
We generalize the results of Chang-Li, Kim-Oh and Chang-Li on the moduli of -fields to the setting of (quasi-)maps to complete intersections in arbitrary smooth Deligne-Mumford…
Quasimaps and some examples of stacks for everybody
Rachel Webb
This note introduces the theory of quasimaps to GIT quotients with intuition and concrete examples, with the goal of explaining a closed formula for the quasimap -function. Alon…
The Abelian-Nonabelian Correspondence for -functions
Rachel Webb
We prove the abelian-nonabelian correspondence for quasimap -functions. That is, if is an affine l.c.i. variety with an action by a complex reductive group , we prove an…
Landau-Ginzburg Mirror Symmetry Conjecture
Weiqiang He, Si Li, Yefeng Shen +1
We prove the Landau-Ginzburg mirror symmetry conjecture between invertible quasi-homogeneous polynomial singularities at all genera. That is, we show that the FJRW theory (LG A-mod…