14 citations · 33 across the 9 of their papers we have counts for
20 papers · 1 filter
The exceptional holonomy groups and calibrated geometry
Dominic Joyce
The exceptional holonomy groups are G2 in 7 dimensions, and Spin(7) in 8 dimensions. Riemannian manifolds with these holonomy groups are Ricci-flat. This is a survey paper on excep…
Singularities of special Lagrangian submanifolds
Dominic Joyce
We survey what is known about singularities of special Lagrangian submanifolds (SL m-folds) in (almost) Calabi-Yau manifolds. The bulk of the paper summarizes the author's five pap…
Special Lagrangian submanifolds with isolated conical singularities. V. Survey and applications
Dominic Joyce
This is the last in a series of five papers math.DG/0211294, math.DG/0211295, math.DG/0302355, math.DG/0302356 studying compact special Lagrangian submanifolds (SL m-folds) X in (a…
Special Lagrangian submanifolds with isolated conical singularities. IV. Desingularization, obstructions and families
Dominic Joyce
This is the fourth in a series of five papers math.DG/0211294, math.DG/0211295, math.DG/0302355, math.DG/0303272 studying compact special Lagrangian submanifolds (SL m-folds) X in…
Special Lagrangian submanifolds with isolated conical singularities. III. Desingularization, the unobstructed case
Dominic Joyce
This is the third in a series of five papers math.DG/0211294, math.DG/0211295, math.DG/0302356, math.DG/0303272 studying compact special Lagrangian submanifolds (SL m-folds) X in (…
Special Lagrangian submanifolds with isolated conical singularities. I. Regularity
Dominic Joyce
This is the first in a series of five papers math.DG/0211295, math.DG/0302355, math.DG/0302356, math.DG/0303272 studying special Lagrangian submanifolds (SL m-folds) X in (almost)…