Binormal Deformation and Bimicrolocalization | Zendy

Kiyoshi Takeuchi | Zendy

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Binormal Deformation and Bimicrolocalization

Author(s) -

Kiyoshi Takeuchi

Publication year - 1996

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195162965

Subject(s) - sheaf , mathematics , pure mathematics , manifold (fluid mechanics) , mathematical analysis , boundary (topology) , algebraic number , functor , coherent sheaf , submanifold , derived algebraic geometry , geometry , mechanical engineering , differential algebraic equation , ordinary differential equation , engineering , differential equation

The specialization functor is an important tool in algebraic geometry as well as in algebraic analysis. In the real case, it associates to a sheaf F on a real manifold X and to a submanifold M of X, a sheaf (i.e. an object of the derived category of sheaves) vM(F) on the normal bundle TMX which describes the "boundary values" of F along M. Its Fourier transform is the sheaf /%(F) of Sato's microlocalization of F along M.

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