Some questions about the index of quantized contact transformations
classification
🧮 math.DG
math.SG
keywords
formulaindexcontactmanifoldsstructurestransformationsatiyah-singerconjectured
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An index formula is proposed for contact transformations between contact manifolds equipped with CR structures or with fillings by symplectic manifolds. The formula generalizes the Atiyah-Singer formula and gives a conjectured formula for the index of Fourier integral operators, as well as Epstein's relative index for CR structures.
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