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Radon Transform for Sheaves

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arxiv 1712.06453 v2 pith:5BEK3TU3 submitted 2017-12-18 math.SG

Honghao Gao This is my paper · ORCID
classification math.SG
keywords radontransformmicrolocalsheafsheavesaltogetherassociatedcategory
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We define the Radon transform functor for sheaves and prove that it is an equivalence after suitable microlocal localizations. As a result, the sheaf category associated to a Legendrian is invariant under the Radon transform. We also manage to place the Radon transform and other transforms in microlocal sheaf theory altogether in a diagram.

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  1. A remark on Continuous K-theory and Fourier-Sato transform

    math.AT 2025-06 conditional novelty 6.0 of 10

    For any conic closed set X in the dual space, the universal localizing invariant of sheaves with microsupport over X equals the compactly supported cohomology of X, and the Tamarkin-category version holds up to suspension.

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