Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary
McLean proved that the moduli space of coassociative deformations of a compact coassociative 4-submanifold C in a G_2-manifold (M,phi,g) is a smooth manifold of dimension equal to b^2_+(C). In this paper, we show that the moduli space of coassociative deformations of a noncompact, asymptotically cyl...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Published: |
2004
|
| _version_ | 1826297322922835968 |
|---|---|
| author | Joyce, D Salur, S |
| author_facet | Joyce, D Salur, S |
| author_sort | Joyce, D |
| collection | OXFORD |
| description | McLean proved that the moduli space of coassociative deformations of a compact coassociative 4-submanifold C in a G_2-manifold (M,phi,g) is a smooth manifold of dimension equal to b^2_+(C). In this paper, we show that the moduli space of coassociative deformations of a noncompact, asymptotically cylindrical coassociative 4-fold C in an asymptotically cylindrical G_2-manifold (M,phi,g) is also a smooth manifold. Its dimension is the dimension of the positive subspace of the image of H^2_cs(C,R) in H^2(C,R). |
| first_indexed | 2024-03-07T04:29:50Z |
| format | Journal article |
| id | oxford-uuid:cded0f6e-4802-4ac8-9569-ddf0959a025e |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:29:50Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:cded0f6e-4802-4ac8-9569-ddf0959a025e2022-03-27T07:32:10ZDeformations of asymptotically cylindrical coassociative submanifolds with fixed boundaryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:cded0f6e-4802-4ac8-9569-ddf0959a025eSymplectic Elements at Oxford2004Joyce, DSalur, SMcLean proved that the moduli space of coassociative deformations of a compact coassociative 4-submanifold C in a G_2-manifold (M,phi,g) is a smooth manifold of dimension equal to b^2_+(C). In this paper, we show that the moduli space of coassociative deformations of a noncompact, asymptotically cylindrical coassociative 4-fold C in an asymptotically cylindrical G_2-manifold (M,phi,g) is also a smooth manifold. Its dimension is the dimension of the positive subspace of the image of H^2_cs(C,R) in H^2(C,R). |
| spellingShingle | Joyce, D Salur, S Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary |
| title | Deformations of asymptotically cylindrical coassociative submanifolds
with fixed boundary |
| title_full | Deformations of asymptotically cylindrical coassociative submanifolds
with fixed boundary |
| title_fullStr | Deformations of asymptotically cylindrical coassociative submanifolds
with fixed boundary |
| title_full_unstemmed | Deformations of asymptotically cylindrical coassociative submanifolds
with fixed boundary |
| title_short | Deformations of asymptotically cylindrical coassociative submanifolds
with fixed boundary |
| title_sort | deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary |
| work_keys_str_mv | AT joyced deformationsofasymptoticallycylindricalcoassociativesubmanifoldswithfixedboundary AT salurs deformationsofasymptoticallycylindricalcoassociativesubmanifoldswithfixedboundary |