Geometric structures on moduli spaces of special lagrangian submanifolds

2001 ◽  
Vol 179 (1) ◽  
pp. 361-382 ◽  
Author(s):  
Paolo de Bartolomeis
2021 ◽  
Vol 81 (3) ◽  
Author(s):  
M. Nouman Muteeb

AbstractWe propose expressions for refined open topological string partition function on certain non-compact Calabi Yau 3-folds with topological branes wrapped on the special lagrangian submanifolds. The corresponding web diagrams are partially compact and a lagrangian brane is inserted on one of the external legs. Partial compactification introduces a mass deformation in the corresponding gauge theory. We propose conjectures that equate these open topological string partition functions with the generating function of equivaraint indices on certain quiver moduli spaces. To obtain these conjectures we use the identification of topological string partition functions with equivariant indices on the instanton moduli spaces.


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