14 citations · 33 across the 9 of their papers we have counts for
6 papers · 1 filter
Ruled special Lagrangian 3-folds in C^3
Dominic Joyce
This is the fourth in a series of papers math.DG/0008021, math.DG/0008155, math.DG/0010036 constructing explicit examples of special Lagrangian submanifolds (SL m-folds) in C^m. A…
Singularities of special Lagrangian fibrations and the SYZ Conjecture
Dominic Joyce
The SYZ Conjecture explains Mirror Symmetry between mirror Calabi-Yau 3-folds M,M' in terms of special Lagrangian fibrations f : M --> B and f' : M' --> B over the same base B, who…
A theory of quaternionic algebra, with applications to hypercomplex geometry
Dominic Joyce
In this paper we introduce a new algebraic device, which enables us to treat the quaternions as though they were a commutative field. This is of interest both for its own sake, and…
Evolution equations for special Lagrangian 3-folds in C^3
Dominic Joyce
This is the third in a series of papers constructing explicit examples of special Lagrangian submanifolds in C^m. The previous paper in the series, math.DG/0008155, defined the ide…
Constructing special Lagrangian m-folds in C^m by evolving quadrics
Dominic Joyce
This is the second in a series of papers constructing explicit examples of special Lagrangian submanifolds in C^m. The first paper was math.DG/0008021, which studied special Lagran…
Special Lagrangian m-folds in C^m with symmetries
Dominic Joyce
This is the first in a series of papers on special Lagrangian submanifolds in C^m. We study special Lagrangian submanifolds in C^m with large symmetry groups, and give a number of…