1 citations · 1 across the 1 of their papers we have counts for
6 papers
Extremal transitions via quantum Serre duality
Rongxiao Mi, Mark Shoemaker
Two varieties and are said to be related by extremal transition if there exists a degeneration from to a singular variety and a crepant resolut…
Virtual classes for hypersurfaces via two-periodic complexes
Mark Shoemaker
These expository notes are based on a series of lectures given at the May 2018 Snowbird workshop, Crossing the Walls in Enumerative Geometry. We give an introductory treatment of t…
Narrow quantum D-modules and quantum Serre duality
Mark Shoemaker
Given Y a non-compact manifold or orbifold, we define a natural subspace of the cohomology of Y called the narrow cohomology. We show that despite Y being non-compact, there is a w…
Integral transforms and quantum correspondences
Mark Shoemaker
We reframe a collection of well-known comparison results in genus zero Gromov-Witten theory in order to relate these to integral transforms between derived categories. This implies…
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…
Quantum Cohomology of Toric Blowups and Landau-Ginzburg Correspondences
Pedro Acosta, Mark Shoemaker
We establish a genus zero correspondence between the equivariant Gromov-Witten theory of the Deligne-Mumford stack and its blowup at the origin. The relationship…