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Compact Manifolds with Special Holonomy

- D. joyce
- Mathematics
- 2000

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conjecture is proved and used to deduce the existence… Expand

A theory of generalized Donaldson–Thomas invariants

- D. joyce, Yinan Song
- Mathematics, Physics
- 31 October 2008

This book studies generalized Donaldson-Thomas invariants $\bar{DT}{}^\alpha(\tau)$. They are rational numbers which 'count' both $\tau$-stable and $\tau$-semistable coherent sheaves with Chern… Expand

COMPACT RIEMANNIAN 7-MANIFOLDS WITH HOLONOMY G2. I

- D. joyce
- 2004

The list of possible holonomy groups of Riemannian manifolds given by Berger [3] includes three intriguing special cases, the holonomy groups G2, Spin(7) and Spin(9) in dimensions 7, 8 and 16… Expand

Compact Riemannian 7-manifolds with holonomy $G\sb 2$. II

- D. joyce
- Mathematics
- 1996

This is the second of two papers about metrics of holonomy G2 on compact 7manifolds. In our first paper [15] we established the existence of a family of metrics of holonomy G2 on a single, compact,… Expand

MOTIVIC INVARIANTS OF ARTIN STACKS AND ‘STACK FUNCTIONS’

- D. joyce
- Mathematics
- 30 September 2005

An invariant I of quasiprojective K-varieties X with values in a commutative ring R is "motivic" if I(X)= I(Y)+I(X\Y) for Y closed in X, and I(X x Y)=I(X)I(Y). Examples include Euler characteristics… Expand

Immersed Lagrangian Floer Theory

Let (M,w) be a compact symplectic manifold, and L a compact, embedded Lagrangian submanifold in M. Fukaya, Oh, Ohta and Ono construct Lagrangian Floer cohomology for such M,L, yielding groups… Expand

Riemannian Holonomy Groups And Calibrated Geometry

- D. joyce
- Mathematics
- 2007

The holonomy group Hol(g) of a Riemannian n-manifold (M, g) is a global invariant which measures the constant tensors on the manifold. It is a Lie subgroup of SO(n), and for generic metrics Hol(g) =… Expand

Calabi-Yau manifolds and related geometries

- M. Gross, D. joyce, +4 authors S. A. Strømme
- Mathematics
- 2003

Compact 8-manifolds with holonomy Spin(7)

- D. joyce
- 1996

In Berger’s classification [4] of the possible holonomy groups of a nonsymmetric, irreducible riemannian manifold, there are two special cases, the exceptional holonomy groups G2 in 7 dimensions and… Expand

Special Lagrangian m-folds in ℂm with symmetries

- D. joyce
- Mathematics
- 2 August 2000

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 explicit… Expand

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