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Or, if essentially my assertion about surface is wrong in any way , so what i concern is just the question: can we analys the cohomology of $N$ from the one of the $M$?
sorry, i didn't know what the wiki is ,then i think it as a good choice . So , if adding a condition that if $N $ is oriented ,so the situation works as i concern works?
Yeah , what you said is correct ,but what i want is in the not free case , ie the stratified symplectic space even clearly in the symplectic orbifold case ,does there exists such an analogue slice theorem ?
yes, thanks for you suggestion , i during the year 2009 ,i read many papers in complex geometry ,maybe focus on the application of $L^2$ -estimate method and various type of Demailly's holomorphic morse inequalities , what i find is people are likely to do some deformations and generalizations of the proof of the method or the holomorphic inequalities ,and there seems nothing to do for me . So i want to ask what should i do now ? Maybe you can give me some suggestions! Thank you for your time
