77 citations · 394 across the 48 of their papers we have counts for
11 papers · 1 filter
Quantum Kirwan for quantum K-theory
Eduardo González, Chris Woodward
For G a complex reductive group and X a smooth projective or convex quasi-projective polarized G-variety we construct a formal map in quantum K-theory from the equivariant quantum…
Quantum Kirwan morphism and Gromov-Witten invariants of quotients III
Chris T. Woodward
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 of a smooth polarized complex projective…
Quantum Kirwan morphism and Gromov-Witten invariants of quotients II
Chris T. Woodward
This is the second in a sequence of papers in which we construct a quantum version of the Kirwan map from the equivariant quantum cohomology of a smooth polarized complex projectiv…
A wall-crossing formula for Gromov-Witten invariants under variation of git quotient
Eduardo Gonzalez, Chris T. Woodward
We prove a quantum version of Kalkman's wall-crossing formula comparing Gromov-Witten invariants on geometric invariant theory (git) quotients related by a change in polarization.…
Quantum cohomology and toric minimal model programs
Eduardo Gonzalez, Chris Woodward
We give a quantum version of the Danilov-Jurkiewicz presentation of the cohomology of a compact toric orbifold with projective coarse moduli space. More precisely, we construct a c…
Quantum Kirwan morphism and Gromov-Witten invariants of quotients I
Chris T. Woodward
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 of a smooth complex projective…
Morphisms of CohFT algebras and quantization of the Kirwan map
Khoa Lu Nguyen, Chris Woodward, Fabian Ziltener
We introduce a notion of morphism of CohFT algebras, based on the analogy with A-infinity morphisms. We discuss a "quantization" of the classical Kirwan morphism to a morphism of C…
The Newstead-Ramanan conjecture for Chern classes
Constantin Teleman, Christopher T. Woodward
Newstead and Ramanan conjectured the vanishing of the top (2g-1) Chern classes of the moduli space of stable, odd degree vector bundles of rank 2 on a Riemann surface of genus g. T…
The Index Formula on the Moduli of G-bundles
Constantin Teleman, Christopher T. Woodward
We prove the formulae conjectured by the first author for the index of K-theory classes over the moduli stack of algebraic G-bundles on a smooth projective curve. The formulae gene…
On D. Peterson's comparison formula for Gromov-Witten invariants
Christopher T. Woodward
We prove a formula of Dale Peterson comparing genus zero Gromov-Witten invariants of to those of using results of Atiyah-Bott and Ramanathan on canonical reductions of…
On the quantum product of Schubert classes
W. Fulton, C. Woodward
We give a formula for the smallest powers of the quantum parameters q that occur in a product of Schubert classes in the (small) quantum cohomology of general flag varieties G/P. W…