11 citations · 25 across the 8 of their papers we have counts for
8 papers
Geometric Phases and Holonomy in Structured Optical Fields
Kristina Frizyuk, Evgenii Menshikov, Mauro Spera
Geometric phases are widely used in modern optics, yet their meaning and underlying geometry depend on the actual physical settings, which can substantially differ from one another…
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…
Generalized theta functions, projectively flat vector bundles and noncommutative tori
Maximiliano Sandoval, Mauro Spera
In this paper, the well-known relationship between theta functions and Heisenberg group actions thereon is resumed by combining complex algebraic and noncommutative geometric techn…
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…
A hydrodynamical homotopy co-momentum map and a multisymplectic interpretation of higher order linking numbers
Antonio Michele Miti, Mauro Spera
In this article a homotopy co-momentum map (à la Callies-Frégier-Rogers-Zambon) trangressing to the standard hydrodynamical co-momentum map of Arnol'd, Marsden and Weinstein and ot…
On some hydrodynamical aspects of quantum mechanics
Mauro Spera
In this note we first set up an analogy between spin and vorticity of a perfect 2d-fluid flow, based on the Borel-Weil contruction of the irreducible unitary representations of SU(…
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…
String Limit of Vortex Current Algebra
V. Penna, M. Spera
The Poisson structure generating the hamiltonian dynamics of string vortices is reconstructed within the current algebra picture as a limiting case of the standard brackets associa…