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hep-th2006★ 57 cited
Holomorphic generating functions for invariants counting coherent sheaves on Calabi-Yau 3-folds
Dominic Joyce
Let X be a Calabi-Yau 3-fold, T=D^b(coh(X)) the derived category of coherent sheaves on X, and Stab(T) the complex manifold of Bridgeland stability conditions Z on T. It is conject…
hep-th1999
On counting special Lagrangian homology 3-spheres
Dominic Joyce
We attempt to define a new invariant I of (almost) Calabi-Yau 3-folds M, by counting special Lagrangian rational homology 3-spheres N in M in each 3-homology class, with a certain…