The authors establish q-concave domain versions of holomorphic Morse inequalities via a new Nakano-Griffiths inequality with boundary terms, and use them to prove Kohn-Rossi extension for bar-delta-b closed forms with values in a holomorphic vector bundle.
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Nakano-Griffiths inequality, holomorphic Morse inequalities, and extension theorems for $q$-concave domains
The authors establish q-concave domain versions of holomorphic Morse inequalities via a new Nakano-Griffiths inequality with boundary terms, and use them to prove Kohn-Rossi extension for bar-delta-b closed forms with values in a holomorphic vector bundle.