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CALIBRATED MANIFOLDS AND GAUGE THEORY (2004)
| Content Provider | CiteSeerX |
|---|---|
| Author | Salur, Sema Akbulut, Selman |
| Abstract | Abstract. The purpose of this paper is to relate the geometries of calibrated submanifolds to their gauge theories. We study the moduli space of deformations of a special kind of associative submanifolds in a G2 manifold (which we call complex associative submanifolds); and we study the moduli space of deformations of a special kind of Cayley submanifolds (which we call complex Cayley submanifolds). We show that deformation spaces can be perturbed to be smooth and finite dimensional. We also get similar results for the deformation spaces of other calibrated submanifolds. We discuss the relation to Seiberg-Witten theory, and propose a certain counting invariant for associative and Cayley submanifolds of foliated manifolds. Calibrated geometries were introduced by Harvey and Lawson [HL]. They studied special Lagrangian submanifolds of Calabi-Yau manifolds, associative and coassociative submanifolds of G2 manifolds, and Cayley submanifolds of Spin(7) manifolds (cf [B1],[J]). In this paper we define a special class of associative submanifolds of a |
| File Format | |
| Publisher Date | 2004-01-01 |
| Access Restriction | Open |
| Subject Keyword | Calibrated Submanifolds Lawson Hl Special Lagrangian Submanifolds Foliated Manifold Deformation Space Gauge Theory Cayley Submanifolds Associative Submanifolds Complex Cayley Submanifolds Modulus Space G2 Manifold Similar Result Seiberg-witten Theory Cf B1 Certain Counting Invariant Complex Associative Submanifolds Special Kind Calabi-yau Manifold Coassociative Submanifolds Calibrated Manifold Gauge Theory |
| Content Type | Text |
| Resource Type | Article |
