scholarly journals Moduli space and deformations of special Lagrangian submanifolds with edge singularities

2017 ◽  
Vol 9 (2) ◽  
pp. 301-363
Author(s):  
Josue Rosario-Ortega
Keyword(s):  
Moduli Space ◽  
Lagrangian Submanifolds ◽  
Special Lagrangian ◽  
Edge Singularities ◽  
Special Lagrangian Submanifolds

scholarly journals DEFORMATIONS OF SPECIAL LAGRANGIAN SUBMANIFOLDS

2000 ◽  
Vol 02 (03) ◽  
pp. 365-372 ◽  
Author(s):  
SEMA SALUR
Keyword(s):  
Moduli Space ◽  
Smooth Manifold ◽  
Complex Structure ◽  
Lagrangian Submanifolds ◽  
Lagrangian Submanifold ◽  
Almost Complex Structure ◽  
Special Lagrangian ◽  
Almost Complex ◽  
Special Lagrangian Submanifold ◽  
Special Lagrangian Submanifolds

In [7], R. C. McLean showed that the moduli space of nearby submanifolds of a smooth, compact, orientable special Lagrangian submanifold L in a Calabi-Yau manifold X is a smooth manifold and its dimension is equal to the dimension of ℋ1(L), the space of harmonic 1-forms on L. In this paper, we will show that the moduli space of all infinitesimal special Lagrangian deformations of L in a symplectic manifold with non-integrable almost complex structure is also a smooth manifold of dimension b1(L), the first Betti number of L.

scholarly journals Moduli space of special Lagrangians in almost Kahler spaces

2001 ◽  
Vol 73 (1) ◽  
pp. 01-05 ◽  
Author(s):  
LI MA
Keyword(s):  
Moduli Space ◽  
Lagrangian Submanifolds ◽  
Complex Manifolds ◽  
Almost Complex Manifolds ◽  
Special Lagrangian ◽  
Almost Complex ◽  
Special Lagrangian Submanifolds ◽  
Almost Kähler ◽  
The Given

In this work we extend the McLean theorem about the moduli space of special Lagrangian submanifolds in Calabi-Yau (CY) manifolds to almost complex manifolds, which are near to the given CY manifold.

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