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math.CV2004
Super Toeplitz operators on line bundles
Robert Berman
Let L^k be a high power of a hermitian holomorphic line bundle over a complex manifold X. Given a differential form f on X, we define a super Toeplitz operator T(f) acting on the s…
math.CV2004★ 1 cited
Holomorphic Morse inequalities on manifolds with boundary
Robert Berman
Let X be a compact manifold with boundary and let L^k be a high power of a hermitian holomorphic line bundle over X. When X has no boundary, Demailly's holomorphic Morse inequaliti…
math.CV2002★ 1 cited
Bergman kernels and local holomorphic Morse inequalities
Robert Berman
Let X be a hermitian manifold and let L^k be a high power of a hermitian line bundle over X. Local versions of Demailly's holomorphic Morse inequalities are presented - after integ…