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The γ-support as a micro-support
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The γ-support as a micro-support
classification
math.SG
keywords
gammasupportmicro-supportapplicationbundlecharacterizationcoincidescompact
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We prove that for any element $L$ in the completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle equipped with the spectral distance, the $\gamma$-support of $L$ coincides with the reduced micro-support of its sheaf quantization. As an application, we give a characterization of the Vichery subdifferential in terms of $\gamma$-support.
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