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math.SG2023
Diffeological Symplectic Frobenius Reciprocity
Gabriele Barbieri, Mauro Spera
In this note we prove that the symplectic Frobenius Reciprocity established in the paper "Symplectic Induction, Prequantum Induction and Prequantum Multiplicities" as a set bijecti…
math.SG2019
Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization
Antonio Michele Miti, Mauro Spera
In this Letter we propose a semiclassical interpretation of the HOMFLYPT polynomial building on the Liu-Ricca hydrodynamical approach to the latter and on the Besana-S. symplectic…
math.SG2008★ 6 cited
Hamiltonian monodromy via geometric quantization and theta functions
Nicola Sansonetto, Mauro Spera
In this paper, Hamiltonian monodromy is studied from the point of view of geometric quantization abd theta functions, and various differential geometric aspects thereof are dealt w…