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math.CV2025
Relative analytic reciprocity laws
Denis V. Osipov
We study reciprocity laws involving complex line bundles on fibrations in oriented circles. In particularly, we prove the following reciprocity law. Let be a complex manifold a…
math.DG2025
Analytic diffeomorphisms of the circle and topological Riemann-Roch theorem for circle fibrations
Denis V. Osipov
We consider the group which is the semidirect product of the group of analytic functions with values in on the circle and the group of analytic diffeom…