14 citations · 15 across the 5 of their papers we have counts for
5 papers
Stratified Pseudobundles and Quantization
Ethan Ross
Geometric Quantization is a term used to describe a wide collection of techniques dating back to the 1960s in the work of Kirillov, Kostant, and Souriau, which take symplectic mani…
Stratified Vector Bundles: Examples and Constructions
Ethan Ross
A stratified space is a kind of topological space together with a partition into smooth manifolds. These kinds of spaces naturally arise in the study of singular algebraic varietie…
Kostant-Souriau Prequantization
Ethan Ross
This is a report for my Master's reading project where I review some basic ideas in the theory of prequantizing a symplectic manifold. The classic proof that a symplectic manifold…
Invariance of Polarization Induced by Symplectomorphisms
Ethan Ross
In this paper we define an action by the symplectomorphisms on a symplectic manifold on the space of real singular polarizations. It is then shown that under some topological condi…
A Lorentz Covariant Holoraumy-Induced "Gadget" From Minimal Off-Shell 4D, N = 1 Supermultiplets
S. J. Gates, T. Grover, M. D. Miller-Dickson +5
Starting from three minimal off-shell 4D, = 1 supermultiplets, using constructions solely defined within the confines of the four dimensional field theory we show the exis…