79 citations · 79 across the 2 of their papers we have counts for
8 papers · 1 filter
Mirror Symmetry and Integral Variations of Hodge Structure Underlying One Parameter Families of Calabi-Yau Threefolds
Charles F. Doran, John W. Morgan
This proceedings note introduces aspects of the authors' work relating mirror symmetry and integral variations of Hodge structure. The emphasis is on their classification of the in…
Automorphism sheaves, spectral covers, and the Kostant and Steinberg sections
Robert Friedman, John W. Morgan
Kostant constructed a section from the adjoint quotient morphism of a simple Lie algebra to the open set of regular elements, and Steinberg constructed such a section for the adjoi…
Holomorphic Principal Bundles Over Elliptic Curves III: Singular Curves and Fibrations
R. Friedman, J. W. Morgan
Let G be a simple and simply connected complex linear algebraic group. In this paper, we discuss the generalization of the parabolic construction of holomorphic principal G-bundles…
Minuscule representations, invariant polynomials, and spectral covers
Robert Friedman, John W. Morgan
Given a minuscule representation of a simple Lie algebra, we find an algebraic model for the action of a regular element and show that these models can be glued together over the a…
Exceptional groups and del Pezzo surfaces
Robert Friedman, John W. Morgan
Given a del Pezzo surface of degree d between 1 and 6, possibly with rational double points, we construct a "tautological" holomorphic G-bundle over X, where G is a reductive group…
On the converse to a theorem of Atiyah and Bott
Robert Friedman, John W. Morgan
Let G be a complex reductive group and let C be a smooth curve of genus at least one. We prove a converse to a theorem of Atiyah-Bott concerning the stratification of the space of…