Exact Lagrangian Submanifolds and the Moduli Space of Special Bohr–Sommerfeld Lagrangian Cycles

2019 ◽  
pp. 147-154
Author(s):  
Nikolay A. Tyurin
Keyword(s):  
Moduli Space ◽  
Lagrangian Submanifolds

scholarly journals The moduli space of complex Lagrangian submanifolds

1999 ◽  
Vol 3 (1) ◽  
pp. 77-92 ◽  
Author(s):  
N. J. Hitchin
Keyword(s):  
Moduli Space ◽  
Lagrangian Submanifolds

The Moduli Space of D-Exact Lagrangian Submanifolds

2019 ◽  
Vol 60 (4) ◽  
pp. 709-719
Author(s):  
N. A. Tyurin
Keyword(s):  
Moduli Space ◽  
Lagrangian Submanifolds

scholarly journals The moduli space of complex Lagrangian submanifolds

2002 ◽  
Vol 7 (1) ◽  
pp. 327-345 ◽  
Author(s):  
N. J. Hitchin
Keyword(s):  
Moduli Space ◽  
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 Spaces of Vector Bundles over a Real Curve: ℤ/2-Betti Numbers

2014 ◽  
Vol 66 (5) ◽  
pp. 961-992 ◽  
Author(s):  
Thomas Baird
Keyword(s):  
Riemann Surface ◽  
Moduli Space ◽  
Moduli Spaces ◽  
Vector Bundles ◽  
Lagrangian Submanifolds ◽  
Betti Numbers ◽  
Stable Bundles ◽  
Complex Curve ◽  
Yang Mills ◽  
Real Curve

AbstractModuli spaces of real bundles over a real curve arise naturally as Lagrangian submanifolds of the moduli space of semi–stable bundles over a complex curve. In this paper, we adapt the methods of Atiyah–Bott's “Yang–Mills over a Riemann Surface” to compute ℤ/2–Betti numbers of these spaces.

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