scholarly journals The ∂-cohomology Groups, Holomorphic Morse Inequalities, and Finite Type Conditions

2010 ◽  
Vol 6 (3) ◽  
pp. 875-914 ◽  
Author(s):  
Siqi Fu ◽  
Howard Jacobowitz
Keyword(s):  
Finite Type ◽  
Cohomology Groups ◽  
Morse Inequalities ◽  
Holomorphic Morse Inequalities

scholarly journals HOLOMORPHIC QUANTIZATION FORMULA IN SINGULAR REDUCTION

1999 ◽  
Vol 01 (03) ◽  
pp. 281-293 ◽  
Author(s):  
WEIPING ZHANG
Keyword(s):  
Morse Inequalities ◽  
Singular Reduction ◽  
Holomorphic Morse Inequalities

We show that the holomorphic Morse inequalities proved by Tian and the author [8, 9] are in effect equalities by refining the analytic arguments in [8, 9].

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