activity
19922026
most citedPhysical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties

41 citations · 41 across the 9 of their papers we have counts for

collaborators

11 papers

math.AG2026

Supermoduli spaces are non-projected in every genus

Mauricio Corrêa, Ron Donagi, Simone Noja

We prove that, for every genus , the primary obstruction of each parity component of the moduli superstack of smooth unpunctured super Riemann surfaces is nonzero, both al…

math.AG2026

Schottky versus super Schottky in genus 4

Ron Donagi, Simone Noja

The study of super Riemann surfaces and their moduli led Witten and Felder, Kazhdan and Polishchuk to ask what is the smallest such that the -th power of the Schottky ideal…

hep-th2025

Families of Hitchin Systems in Type-D

Aswin Balasubramanian, Jacques Distler, Ron Donagi +1

The Coulomb branch geometry of a 4d SCFT is encoded in the data of a complex integrable system. In class-S, this is the Hitchin System (of ADE type) on the puncture…

math.AG2025

The intersection of three quadrics in P^7 revisited

R. Donagi, T. Pantev

We show that the natural nc-space attached to an intersection of three quadrics in P^7 is truly non-commutative. In particular, its associated numerical K-lattice is not isomorphic…

math.AG2024

The meromorphic Hitchin fibration over stable pointed curves: moduli spaces

Ron Donagi, Andres Fernandez Herrero

We construct a universal partial compactification of the relative moduli space of semistable meromorphic Higgs bundles over the stack of stable pointed curves. It parametrizes mero…

math.AG2024

A measure on the moduli space of super Riemann surfaces with Ramond punctures

Ron Donagi, Nadia Ott

We construct a measure on the moduli space of super Riemann surfaces with Ramond punctures using the super Mumford isomorphism and a super period map.

math.AG2024

On Generalized Pfaffians

Jacques Distler, Nathan Donagi, Ron Donagi

The determinant of an anti-symmetric matrix is the square of its Pfaffian, which like the determinant is a polynomial in the entries of . Studies of certain super conformal…

math.AG2024

Twistor Hecke eigensheaves in genus 2

Ron Donagi, Tony Pantev, Carlos Simpson

Following the strategy outlined in [DP09] arXiv:math/0604617 and [DP22] arXiv:math/0604617 for bundles of rank 2 on a smooth projective curve of genus , we construct flat connec…

hep-th2023

The Hitchin Image in Type-D

Aswin Balasubramanian, Jacques Distler, Ron Donagi +1

Motivated by their appearance as Coulomb branch geometries of Class S theories, we study the image of the local Hitchin map in tame Hitchin systems of type-D with residue in a spec…

hep-th2011★ 41 cited

Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties

R. Donagi, J. Guffin, S. Katz +1

In this paper, we will outline computations of quantum sheaf cohomology for deformations of tangent bundles of toric varieties, for those deformations describable as deformations o…

alg-geom1992

The fibers of the Prym map

Ron Donagi

In this work we use the bigonal, trigonal and tetragonal constructions to describe the fibers of the Prym map P : R_{g} ---->A_{g-1} inthe cases when it is dominant, i.e. for g < 7…