On the Instanton Complex of Holomorphic Morse Theory
On the Instanton Complex of Holomorphic Morse Theory
Consider a holomorphic torus action on a complex manifold which lifts to a holomorphic vector bundle.When the connected components of the fixed-point set form a partially ordered set, we construct, using sheaf-theoretical techniques, two spectral sequences that converges to the twisted Dolbeault cohomology groups and those with compact support, respectively.These …